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楼主: 王守恩

[原创] 用 2,3,+,×,( )=正整数。

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发表于 7 天前 | 显示全部楼层
a(121)=8,{2+119},1+7, 这个错的更严重。a(121)=6,(3*3+2)^2
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
发表于 7 天前 | 显示全部楼层
1        {}        0
2        {{2}}        1
3        {{3}}        1
4        {{2,2}}        2
5        {{2,3}}        2
6        {{3,3},{2,3}}        2
7        {{2,5},{3,4}}        3
8        {{2,6},{3,5},{2,4}}        3
9        {{3,3}}        2
10        {{2,5}}        3
11        {{2,9}}        3
12        {{3,9},{2,6},{3,4}}        3
13        {{2,11},{3,10},{4,9}}        4
14        {{2,12},{3,11},{5,9},{2,7}}        4
15        {{3,5}}        3
16        {{2,8},{4,4}}        4
17        {{2,15}}        4
18        {{2,9},{3,6}}        3
19        {{2,17},{3,16},{4,15},{9,10}}        5
20        {{2,18},{2,10},{4,5}}        4
21        {{3,18},{3,7}}        4
22        {{2,11}}        4
23        {{2,21},{3,20},{5,18}}        5
24        {{2,12},{3,8},{4,6}}        4
25        {{5,5}}        4
26        {{2,24},{2,13}}        5
27        {{3,9}}        3
28        {{3,25},{2,14},{4,7}}        5
29        {{2,27}}        4
30        {{3,27},{2,15},{3,10},{5,6}}        4
31        {{2,29},{4,27}}        5
32        {{2,30},{3,29},{5,27},{2,16},{4,8}}        5
33        {{3,11}}        4
34        {{2,17}}        5
35        {{2,33},{5,7}}        5
36        {{2,18},{3,12},{4,9},{6,6}}        4
37        {{2,35},{3,34},{4,33},{10,27}}        6
38        {{2,36}}        5
39        {{3,36},{3,13}}        5
40        {{2,20},{4,10},{5,8}}        5
41        {{2,39},{3,38},{5,36}}        6
42        {{2,21},{3,14},{6,7}}        5
43        {{3,40}}        6
44        {{2,22},{4,11}}        5
45        {{3,15},{5,9}}        4
46        {{2,44},{2,23}}        6
47        {{2,45}}        5
48        {{3,45},{2,24},{3,16},{4,12},{6,8}}        5
49        {{2,47},{4,45},{7,7}}        6
50        {{2,25},{5,10}}        5
51        {{3,17}}        5
52        {{2,50},{2,26},{4,13}}        6
53        {{2,51},{3,50}}        6
54        {{2,27},{3,18},{6,9}}        4
55        {{5,11}}        5
56        {{2,54}}        5
57        {{3,54}}        5
58        {{2,29}}        5
59        {{2,57},{3,56},{5,54}}        6
60        {{2,30},{3,20},{4,15},{5,12},{6,10}}        5
61        {{3,58}}        6
62        {{2,60},{2,31}}        6
63        {{3,21},{7,9}}        5
64        {{2,32},{4,16},{8,8}}        6
65        {{2,63},{5,13}}        6
66        {{2,33},{3,22},{6,11}}        5
67        {{2,65},{3,64},{4,63},{9,58}}        7
68        {{2,66},{2,34},{4,17}}        6
69        {{3,66},{3,23}}        6
70        {{2,35},{5,14},{7,10}}        6
71        {{2,69},{3,68},{5,66}}        7
72        {{2,36},{3,24},{4,18},{6,12},{8,9}}        5
73        {{3,70}}        7
74        {{2,72}}        6
75        {{3,25},{5,15}}        5
76        {{2,38}}        6
77        {{2,75},{7,11}}        6
78        {{3,75},{2,39},{3,26},{6,13}}        6
79        {{2,77},{3,76},{4,75}}        7
80        {{2,40},{4,20},{5,16},{8,10}}        6
81        {{3,27},{9,9}}        4
82        {{2,80},{2,41}}        7
83        {{2,81}}        5
84        {{3,81}}        5
85        {{2,83},{4,81},{5,17}}        6
86        {{2,84},{3,83},{5,81}}        6
87        {{3,29}}        5
88        {{2,44},{4,22},{8,11}}        6
89        {{2,87}}        6
90        {{2,45},{3,30},{5,18},{6,15},{9,10}}        5
91        {{2,89},{3,88},{4,87},{10,81},{7,13}}        7
92        {{2,90}}        6
93        {{3,90},{3,31}}        6
94        {{2,47}}        6
95        {{2,93},{3,92},{5,90},{5,19}}        7
96        {{2,48},{3,32},{4,24},{6,16},{8,12}}        6
97        {{3,94}}        7
98        {{2,96},{2,49},{7,14}}        7
99        {{3,33},{9,11}}        5
100        {{2,50},{4,25},{5,20},{10,10}}        6
101        {{2,99}}        6
102        {{3,99},{2,51},{3,34},{6,17}}        6
103        {{2,101},{3,100},{4,99}}        7
104        {{2,102},{3,101},{5,99},{2,52},{4,26},{8,13}}        7
105        {{3,35},{5,21},{7,15}}        6
106        {{2,53}}        7
107        {{2,105}}        7
108        {{2,54},{3,36},{4,27},{6,18},{9,12}}        5
109        {{2,107},{3,106},{4,105},{9,100},{10,99}}        8
110        {{2,108},{2,55},{5,22},{10,11}}        6
111        {{3,108}}        6
112        {{2,56}}        6
113        {{2,111},{3,110},{5,108}}        7
114        {{2,57},{3,38}}        6
115        {{3,112},{5,23}}        7
116        {{2,58},{4,29}}        6
117        {{3,39},{9,13}}        6
118        {{2,116},{2,59}}        7
119        {{2,117},{3,116},{7,17}}        7
120        {{2,60},{3,40},{4,30},{5,24},{6,20},{8,15},{10,12}}        6
121        {{11,11}}        6
122        {{2,120},{2,61}}        7
123        {{2,121},{3,120},{3,41}}        7
124        {{3,121},{2,62},{4,31}}        7
125        {{5,25}}        6
126        {{2,63},{3,42},{6,21},{7,18},{9,14}}        6
127        {{2,125}}        7
128        {{2,126},{3,125},{2,64},{4,32},{8,16}}        7
129        {{3,126},{3,43}}        7
130        {{2,65},{5,26},{10,13}}        7
131        {{2,129},{3,128},{5,126},{6,125}}        8
132        {{2,66},{3,44},{4,33},{6,22},{11,12}}        6
133        {{3,130},{7,19}}        8
134        {{2,132}}        7
135        {{3,45},{5,27},{9,15}}        5
136        {{2,68},{4,34},{8,17}}        7
137        {{2,135}}        6
138        {{3,135}}        6
139        {{2,137},{4,135}}        7
140        {{2,138},{3,137},{5,135},{2,70},{4,35},{5,28},{7,20},{10,14}}        7
141        {{3,47}}        6
142        {{2,140},{3,139},{4,138},{5,137},{7,135},{2,71}}        8
143        {{2,141},{11,13}}        7
144        {{2,72},{3,48},{4,36},{6,24},{8,18},{9,16},{12,12}}        6
145        {{5,29}}        6
146        {{2,144}}        7
147        {{2,145},{3,144},{3,49},{7,21}}        7
148        {{3,145},{2,74}}        7
149        {{2,147},{3,146},{4,145},{5,144}}        8
150        {{2,75},{3,50},{5,30},{6,25},{10,15}}        6
151        {{3,148},{6,145}}        8
152        {{2,150},{2,76},{4,38}}        7
153        {{3,51},{9,17}}        6
154        {{2,77},{7,22},{11,14}}        7
155        {{2,153},{5,31}}        7
156        {{3,153},{2,78},{3,52},{4,39},{6,26},{12,13}}        7
157        {{2,155},{3,154},{4,153}}        8
158        {{2,156},{3,155},{5,153},{2,79}}        8
159        {{3,53}}        7
160        {{2,80},{4,40},{5,32},{8,20},{10,16}}        7
161        {{2,159},{7,23}}        8
162        {{2,81},{3,54},{6,27},{9,18}}        5
163        {{3,160}}        8
164        {{2,162}}        6
165        {{3,162},{3,55},{5,33},{11,15}}        6
166        {{2,83}}        6
167        {{2,165},{3,164},{5,162}}        7
168        {{2,84},{3,56}}        6
169        {{3,166}}        7
170        {{2,168},{2,85},{5,34},{10,17}}        7
171        {{3,57}}        6
172        {{2,86}}        7
173        {{2,171}}        7
174        {{2,87},{3,58},{6,29}}        6
175        {{5,35},{7,25}}        7
176        {{2,174},{2,88},{4,44},{8,22},{11,16}}        7
177        {{3,174},{3,59}}        7
178        {{2,89}}        7
179        {{2,177},{3,176},{5,174}}        8
180        {{2,90},{3,60},{4,45},{5,36},{6,30},{9,20},{10,18},{12,15}}        6
181        {{3,178}}        8
182        {{2,180}}        7
183        {{3,180},{3,61}}        7
184        {{2,92}}        7
185        {{2,183},{3,182},{5,180},{5,37}}        8
186        {{2,93},{3,62},{6,31}}        7
187        {{11,17}}        7
188        {{2,94},{4,47}}        7
189        {{3,63},{7,27},{9,21}}        6
190        {{5,38}}        7
191        {{2,189}}        7
192        {{3,189},{2,96},{3,64},{4,48},{6,32},{8,24},{12,16}}        7
193        {{2,191},{3,190},{4,189}}        8
194        {{2,192},{3,191},{5,189},{2,97}}        8
195        {{3,65},{5,39},{13,15}}        7
196        {{2,98},{4,49},{7,28},{14,14}}        8
197        {{2,195}}        8
198        {{2,99},{3,66},{6,33},{9,22},{11,18}}        6
199        {{2,197},{3,196},{4,195},{9,190},{10,189}}        9
200        {{2,198},{2,100},{4,50},{5,40},{8,25},{10,20}}        7
201        {{3,198}}        7
202        {{2,101}}        7
203        {{7,29}}        7
204        {{2,102},{3,68},{4,51},{6,34},{12,17}}        7
205        {{2,203},{3,202},{5,41}}        8
206        {{2,204},{3,203},{2,103}}        8
207        {{3,69},{9,23}}        7
208        {{2,104},{4,52},{8,26},{13,16}}        8
209        {{2,207},{11,19}}        8
210        {{2,105},{3,70},{5,42},{6,35},{7,30},{10,21},{14,15}}        7
211        {{2,209},{3,208},{4,207},{9,202}}        9
212        {{2,210},{2,106},{4,53}}        8
213        {{3,210},{3,71}}        8
214        {{2,107}}        8
215        {{5,43}}        8
216        {{2,108},{3,72},{4,54},{6,36},{8,27},{9,24},{12,18}}        6
217        {{7,31}}        8
218        {{2,216}}        7
219        {{3,216}}        7
220        {{2,110},{4,55},{5,44},{10,22},{11,20}}        7
221        {{2,219},{3,218},{5,216},{13,17}}        8
222        {{2,111},{3,74}}        7
223        {{3,220}}        8
224        {{2,112},{4,56}}        7
225        {{3,75},{5,45},{9,25},{15,15}}        6
226        {{2,224},{2,113}}        8
227        {{2,225}}        7
228        {{3,225},{2,114},{3,76},{4,57},{6,38}}        7
229        {{2,227},{4,225}}        8
230        {{2,228},{3,227},{5,225},{2,115},{5,46},{10,23}}        8
231        {{3,77},{7,33},{11,21}}        7
232        {{2,116},{4,58},{8,29}}        7
233        {{2,231}}        8
234        {{2,117},{3,78},{6,39},{9,26},{13,18}}        7
235        {{5,47}}        7
236        {{2,234},{2,118},{4,59}}        8
237        {{2,235},{3,234},{3,79}}        8
238        {{3,235},{2,119},{7,34},{14,17}}        8
239        {{2,237},{3,236},{4,235},{5,234}}        9
240        {{2,120},{3,80},{4,60},{5,48},{6,40},{8,30},{10,24},{12,20},{15,16}}        7
241        {{3,238},{6,235},{9,232}}        9
242        {{2,121},{11,22}}        7
243        {{3,81},{9,27}}        5
244        {{2,242},{2,122},{4,61}}        8
245        {{2,243}}        6
246        {{3,243}}        6
247        {{2,245},{4,243}}        7
248        {{2,246},{3,245},{5,243}}        7
249        {{3,83}}        6
250        {{2,125},{5,50},{10,25}}        7
251        {{2,249}}        7
252        {{3,84}}        6
253        {{2,251},{3,250},{4,249},{10,243},{11,23}}        8
254        {{2,252}}        7
255        {{3,252},{3,85},{5,51},{15,17}}        7
256        {{2,254},{4,252},{2,128},{4,64},{8,32},{16,16}}        8
257        {{2,255},{3,254},{5,252}}        8
258        {{3,86}}        7
259        {{2,257},{3,256},{4,255},{5,254},{7,252},{9,250},{10,249},{16,243},{7,37}}        9
260        {{2,258},{2,130},{4,65},{5,52},{10,26},{13,20}}        8
261        {{3,87},{9,29}}        6
262        {{2,260},{4,258},{10,252},{2,131}}        9
263        {{2,261}}        7
264        {{3,261},{2,132},{3,88},{4,66},{6,44},{8,33},{11,24},{12,22}}        7
265        {{2,263},{4,261},{5,53}}        8
266        {{2,264},{3,263},{5,261},{7,38}}        8
267        {{3,89}}        7
268        {{2,134}}        8
269        {{2,267}}        8
270        {{2,135},{3,90},{5,54},{6,45},{9,30},{10,27},{15,18}}        6
271        {{2,269},{3,268},{4,267},{10,261}}        9
272        {{2,270}}        7
273        {{3,270}}        7
274        {{2,137}}        7
275        {{5,55},{11,25}}        7
276        {{2,138},{3,92}}        7
277        {{2,275},{3,274}}        8
278        {{2,276},{3,275},{2,139}}        8
279        {{3,93},{9,31}}        7
280        {{5,56}}        7
281        {{2,279}}        8
282        {{2,141},{3,94},{6,47}}        7
283        {{3,280}}        8
284        {{2,282}}        8
285        {{5,57}}        7
286        {{2,143},{11,26},{13,22}}        8
287        {{2,285}}        8
288        {{2,144},{3,96},{4,72},{6,48},{8,36},{9,32},{12,24},{16,18}}        7
289        {{17,17}}        8
290        {{2,145},{5,58},{10,29}}        7
291        {{3,288},{3,97}}        8
292        {{2,290},{2,146}}        8
293        {{3,290}}        8
294        {{2,147},{3,98},{6,49},{7,42},{14,21}}        8
295        {{5,59}}        8
296        {{2,148},{4,74}}        8
297        {{3,99},{9,33},{11,27}}        6
298        {{2,296},{3,295},{2,149}}        9
299        {{2,297}}        7
300        {{3,297},{2,150},{3,100},{4,75},{5,60},{6,50},{10,30},{12,25},{15,20}}        7
301        {{2,299},{4,297}}        8
302        {{2,300},{3,299},{5,297}}        8
303        {{3,101}}        7
304        {{2,152},{4,76},{8,38}}        8
305        {{2,303},{5,61}}        8
306        {{2,153},{3,102},{6,51},{9,34},{17,18}}        7
307        {{2,305},{3,304},{4,303},{10,297}}        9
308        {{2,306},{2,154},{4,77},{7,44},{11,28},{14,22}}        8
309        {{3,306},{3,103}}        8
310        {{2,155},{5,62},{10,31}}        8
311        {{2,309},{3,308},{5,306}}        9
312        {{2,156},{3,104},{4,78},{6,52},{8,39},{12,26},{13,24}}        8
313        {{3,310}}        9
314        {{2,312},{2,157}}        9
315        {{3,105},{5,63},{7,45},{9,35},{15,21}}        7
316        {{2,158},{4,79}}        9
317        {{2,315}}        8
318        {{3,315},{2,159},{3,106},{6,53}}        8
319        {{11,29}}        7
320        {{2,160},{4,80},{5,64},{8,40},{10,32},{16,20}}        8
321        {{2,319},{3,107}}        8
322        {{3,319}}        8
323        {{2,321},{3,320},{4,319},{17,19}}        9
324        {{2,162},{3,108},{4,81},{6,54},{9,36},{12,27},{18,18}}        6
325        {{5,65},{13,25}}        8
326        {{2,324}}        7
327        {{3,324}}        7
328        {{2,164}}        7
329        {{2,327},{3,326},{5,324},{7,47}}        8
330        {{2,165},{3,110},{5,66},{6,55},{10,33},{11,30},{15,22}}        7
331        {{3,328}}        8
332        {{2,166},{4,83}}        7
333        {{3,111}}        7
334        {{2,332},{2,167}}        8
335        {{2,333},{3,332}}        8
336        {{2,168},{3,112},{4,84},{6,56}}        7
337        {{2,335},{3,334},{4,333},{5,332},{9,328}}        9
338        {{2,336},{2,169}}        8
339        {{3,336},{3,113}}        8
340        {{2,170},{4,85},{5,68},{10,34},{17,20}}        8
341        {{11,31}}        8
342        {{2,171},{3,114},{6,57},{9,38}}        7
343        {{2,341},{3,340},{7,49}}        9
344        {{2,342},{2,172},{4,86}}        8
345        {{3,342},{3,115},{5,69},{15,23}}        8
346        {{2,173}}        8
347        {{2,345},{3,344},{5,342}}        9
348        {{2,174},{3,116},{4,87},{6,58},{12,29}}        7
349        {{3,346}}        9
350        {{2,348},{2,175},{5,70},{7,50},{10,35},{14,25}}        8
351        {{3,117},{9,39},{13,27}}        7
352        {{2,176},{4,88},{8,44},{11,32},{16,22}}        8
353        {{2,351}}        8
354        {{3,351},{2,177},{3,118},{6,59}}        8
355        {{2,353},{3,352},{4,351},{5,71}}        9
356        {{2,178},{4,89}}        8
357        {{3,119},{7,51},{17,21}}        8
358        {{2,356},{2,179}}        9
359        {{2,357},{3,356}}        9
360        {{2,180},{3,120},{4,90},{5,72},{6,60},{8,45},{9,40},{10,36},{12,30},{15,24},{18,20}}        7
361        {{2,359},{3,358},{4,357},{5,356},{9,352},{10,351},{19,19}}        10
362        {{2,360}}        8
363        {{3,121},{11,33}}        7
364        {{2,182}}        8
365        {{2,363}}        8
366        {{3,363},{2,183},{3,122},{6,61}}        8
367        {{2,365},{3,364},{4,363}}        9
368        {{2,184},{4,92}}        8
369        {{3,123},{9,41}}        8
370        {{5,74}}        8
371        {{2,369},{3,368},{7,53}}        9
372        {{2,186},{3,124},{4,93},{6,62},{12,31}}        8
373        {{3,370}}        9
374        {{2,187},{11,34},{17,22}}        8
375        {{3,125},{5,75},{15,25}}        7
376        {{2,188},{4,94},{8,47}}        8
377        {{2,375},{13,29}}        8
378        {{2,189},{3,126},{6,63},{7,54},{9,42},{14,27},{18,21}}        7
379        {{2,377},{3,376},{4,375}}        9
380        {{2,378},{2,190},{5,76},{10,38}}        8
381        {{3,378},{3,127}}        8
382        {{2,191}}        8
383        {{2,381},{3,380},{5,378}}        9
384        {{2,192},{3,128},{4,96},{6,64},{8,48},{12,32},{16,24}}        8
385        {{5,77},{7,55},{11,35}}        8
386        {{2,384},{2,193}}        9
387        {{3,129},{9,43}}        8
388        {{3,385},{2,194},{4,97}}        9
389        {{2,387}}        9
390        {{2,195},{3,130},{5,78},{6,65},{10,39},{13,30},{15,26}}        8
391        {{17,23}}        9
392        {{7,56}}        8
393        {{3,390},{3,131}}        9
394        {{2,392},{2,197}}        9
395        {{3,392},{5,79}}        9
396        {{2,198},{3,132},{4,99},{6,66},{9,44},{11,36},{12,33},{18,22}}        7
397        {{2,395},{3,394},{5,392}}        10
398        {{2,396}}        8
399        {{3,396},{7,57}}        8
400        {{2,200},{4,100},{5,80},{8,50},{10,40},{16,25},{20,20}}        8
401        {{2,399},{3,398},{5,396}}        9
402        {{2,201},{3,134}}        8
403        {{3,400},{13,31}}        9
404        {{2,202},{4,101}}        8
405        {{3,135},{5,81},{9,45},{15,27}}        6
406        {{2,203},{7,58},{14,29}}        8
407        {{2,405}}        7
408        {{3,405}}        7
409        {{2,407},{4,405}}        8
410        {{2,408},{3,407},{5,405}}        8
411        {{3,137}}        7
412        {{2,410},{3,409},{4,408},{5,407},{7,405},{2,206},{4,103}}        9
413        {{2,411}}        8
414        {{3,138}}        7
415        {{5,83}}        7
416        {{2,414}}        8
417        {{2,415},{3,414},{3,139}}        8
418        {{3,415},{11,38}}        8
419        {{2,417},{3,416},{4,415},{5,414}}        9
420        {{5,84}}        7
421        {{3,418},{6,415}}        9
422        {{2,420}}        8
423        {{3,141},{9,47}}        7
424        {{2,422},{4,420},{9,415},{2,212},{4,106},{8,53}}        9
425        {{2,423},{5,85},{17,25}}        8
426        {{3,423}}        8
427        {{2,425},{4,423},{7,61}}        9
428        {{2,426},{3,425},{5,423},{2,214},{4,107}}        9
429        {{3,143},{11,39},{13,33}}        8
430        {{5,86}}        8
431        {{2,429}}        9
432        {{2,216},{3,144},{4,108},{6,72},{8,54},{9,48},{12,36},{16,27},{18,24}}        7
433        {{3,430}}        9
434        {{2,432}}        8
435        {{3,145},{5,87},{15,29}}        7
436        {{2,218}}        8
437        {{2,435}}        8
438        {{3,435},{2,219},{3,146}}        8
439        {{2,437},{3,436},{4,435}}        9
440        {{2,220},{4,110},{5,88},{8,55},{10,44},{11,40},{20,22}}        8
441        {{3,147},{7,63},{9,49},{21,21}}        8
442        {{2,440},{2,221},{13,34},{17,26}}        9
443        {{2,441},{3,440}}        9
444        {{2,222},{3,148},{4,111},{6,74}}        8
445        {{5,89}}        8
446        {{2,444},{2,223}}        9
447        {{2,445},{3,444},{3,149}}        9
448        {{2,224},{4,112},{8,56}}        8
449        {{2,447},{3,446},{4,445},{5,444},{9,440}}        10
450        {{2,225},{3,150},{5,90},{6,75},{9,50},{10,45},{15,30},{18,25}}        7
451        {{3,448},{11,41}}        9
452        {{2,450}}        8
453        {{3,450}}        8
454        {{2,227}}        8
455        {{2,453},{3,452},{5,450},{5,91},{7,65},{13,35}}        9
456        {{2,228},{3,152},{4,114},{6,76},{8,57},{12,38}}        8
457        {{3,454}}        9
458        {{2,456},{2,229}}        9
459        {{3,153},{9,51},{17,27}}        7
460        {{5,92}}        8
461        {{2,459}}        8
462        {{3,459},{2,231},{3,154},{6,77},{7,66},{11,42},{14,33},{21,22}}        8
463        {{2,461},{3,460},{4,459}}        9
464        {{2,232},{4,116},{8,58},{16,29}}        8
465        {{3,155},{5,93},{15,31}}        8
466        {{2,464},{2,233}}        9
467        {{2,465},{3,464}}        9
468        {{2,234},{3,156},{4,117},{6,78},{9,52},{12,39},{13,36},{18,26}}        8
469        {{2,467},{3,466},{4,465},{5,464},{9,460},{10,459},{7,67}}        10
470        {{2,235},{5,94},{10,47}}        8
471        {{3,468},{3,157}}        9
472        {{2,470},{2,236},{4,118},{8,59}}        9
473        {{3,470},{11,43}}        9
474        {{2,237},{3,158},{6,79}}        9
475        {{5,95},{19,25}}        9
476        {{2,238},{4,119},{7,68},{14,34},{17,28}}        9
477        {{3,159},{9,53}}        8
478        {{2,476},{3,475},{2,239}}        10
479        {{2,477}}        9
480        {{2,240},{3,160},{4,120},{5,96},{6,80},{8,60},{10,48},{12,40},{15,32},{16,30},{20,24}}        8
481        {{2,479},{4,477},{13,37}}        10
482        {{2,480}}        9
483        {{3,480},{3,161},{7,69},{21,23}}        9
484        {{2,242},{4,121},{11,44},{22,22}}        8
485        {{5,97}}        9
486        {{2,243},{3,162},{6,81},{9,54},{18,27}}        6
487        {{3,484}}        9
488        {{2,486}}        7
489        {{3,486}}        7
490        {{2,245}}        7
491        {{2,489},{3,488},{5,486}}        8
492        {{2,246},{3,164}}        7
493        {{3,490},{17,29}}        8
494        {{2,492},{2,247}}        8
495        {{3,165},{5,99},{9,55},{11,45},{15,33}}        7
496        {{2,248}}        8
497        {{2,495}}        8
498        {{2,249},{3,166},{6,83}}        7
499        {{2,497},{3,496},{4,495},{9,490}}        9
500        {{2,498},{2,250},{4,125},{5,100},{10,50},{20,25}}        8

点评

所有乘法是等价的——来1种就可以。  发表于 7 天前
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
发表于 7 天前 | 显示全部楼层
{2, {{2}}, 1},
{4, {{2, 2}}, 2},
{7, {{2, 5}, {3, 4}}, 3},
{13, {{2, 11}, {3, 10}, {4, 9}},  4},
{19, {{2, 17}, {3, 16}, {4, 15}, {9, 10}}, 5},
{37, {{2, 35}, {3, 34}, {4, 33}, {10, 27}}, 6},
{67, {{2, 65}, {3, 64}, {4, 63}, {9, 58}}, 7},
{109, {{2, 107}, {3, 106}, {4, 105}, {9, 100}, {10, 99}},  8},
{199, {{2, 197}, {3, 196}, {4, 195}, {9, 190}, {10, 189}}, 9},
{361, {{2, 359}, {3, 358}, {4, 357}, {5, 356}, {9, 352}, {10, 351}, {19, 19}}, 10},
{719, {{2, 717}, {3, 716}, {4, 715}, {5, 714}}, 11},
{1297, {{2, 1295}, {3, 1294}, {4, 1293}, {5, 1292}, {7, 1290}, {9, 1288}, {10, 1287}, {27, 1270}}, 12},
{3079, {{2, 3077}, {3, 3076}, {4, 3075}, {5, 3074}, {9, 3070}, {10, 3069}}, 13},
{4861, {{2, 4859}, {3, 4858}, {4, 4857}, {5, 4856}, {6, 4855}, {9, 4852}, {10, 4851}, {18, 4843}}, 14}

点评

难怪我在OEIS找不到这串数。  发表于 7 天前
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
发表于 7 天前 | 显示全部楼层
1        {2,3}
2        {4,5,6,9}
3        {7,8,10,11,12,15,18,27}
4        {13,14,16,17,20,21,22,24,25,29,30,33,36,45,54,81}
5        {19,23,26,28,31,32,34,35,38,39,40,42,44,47,48,50,51,55,56,57,58,60,63,66,72,75,83,84,87,90,99,108,135,162,243}
6        {37,41,43,46,49,52,53,59,61,62,64,65,68,69,70,74,76,77,78,80,85,86,88,89,92,93,94,96,100,101,102,105,110,111,112,114,116,117,120,121,125,126,132,137,138,141,144,145,150,153,164,165,166,168,171,174,180,189,198,216,225,245,246,249,252,261,270,297,324,405,486,729}
7        {67,71,73,79,82,91,95,97,98,103,104,106,107,113,115,118,119,122,123,124,127,128,129,130,134,136,139,140,143,146,147,148,152,154,155,156,159,160,167,169,170,172,173,175,176,177,178,182,183,184,186,187,188,190,191,192,195,200,201,202,203,204,207,210,218,219,220,222,224,227,228,231,232,234,235,240,242,247,248,250,251,254,255,258,263,264,267,272,273,274,275,276,279,280,282,285,288,290,299,300,303,306,315,319,326,327,328,330,332,333,336,342,348,351,360,363,375,378,396,407,408,411,414,415,420,423,432,435,450,459,488,489,490,492,495,498,504,513,522,540,567,594,648,675,731,732,735,738,747,756,783,810,891,972,1215,1458,2187}
8        {109,131,133,142,149,151,157,158,161,163,179,181,185,193,194,196,197,205,206,208,209,212,213,214,215,217,221,223,226,229,230,233,236,237,238,244,253,256,257,260,265,266,268,269,277,278,281,283,284,286,287,289,291,292,293,294,295,296,301,302,304,305,308,309,310,312,317,318,320,321,322,325,329,331,334,335,338,339,340,341,344,345,346,350,352,353,354,356,357,362,364,365,366,368,369,370,372,374,376,377,380,381,382,384,385,387,390,392,398,399,400,402,404,406,409,410,413,416,417,418,422,425,426,429,430,434,436,437,438,440,441,444,445,448,452,453,454,456,460,461,462,464,465,468,470,477,480,484,491,493,494,496,497,500,501,502,505,506,507,508,510,515,516,517,519,524,525,526,528,531,534,542,543,544,546,548,549,550,552,555,558,560,561,564,569,570,573,576,580,581,585,588,596,597,598,600,603,605,606,609,612,616,621,625,627,630,638,650,651,652,654,656,657,660,664,666,672,677,678,681,684,685,690,693,696,702,705,720,725,726,733,734,737,740,741,744,749,750,753,758,759,762,765,774,785,786,789,792,801,812,813,814,816,819,820,822,825,828,830,837,840,841,846,855,864,870,893,894,897,900,909,913,918,924,945,957,974,975,976,978,980,981,984,990,996,999,1008,1026,1044,1053,1080,1089,1125,1134,1188,1217,1218,1221,1224,1225,1230,1233,1242,1245,1260,1269,1296,1305,1350,1377,1460,1461,1462,1464,1467,1470,1476,1485,1494,1512,1539,1566,1620,1701,1782,1944,2025,2189,2190,2193,2196,2205,2214,2241,2268,2349,2430,2673,2916,3645,4374}
9        {199,211,239,241,259,262,271,298,307,311,313,314,316,323,337,343,347,349,355,358,359,367,371,373,379,383,386,388,389,391,393,394,395,401,403,412,419,421,424,427,428,431,433,439,442,443,446,447,451,455,457,458,463,466,467,471,472,473,474,475,476,479,482,483,485,487,499,503,509,511,512,514,518,520,521,527,529,530,532,533,535,536,537,538,539,545,547,551,553,554,556,557,562,563,565,566,568,571,572,574,575,578,579,582,583,584,586,587,590,591,592,595,599,601,602,604,607,608,610,611,614,615,618,619,620,623,624,628,629,632,633,634,635,636,639,640,641,642,644,645,646,649,653,655,658,659,662,663,667,668,669,670,671,674,676,679,680,682,683,686,687,688,692,695,698,699,700,704,706,707,708,711,712,714,715,722,723,724,727,728,730,736,739,742,743,746,748,751,752,754,755,760,761,764,767,768,770,771,775,776,777,780,784,787,788,791,794,795,796,798,799,800,803,804,807,808,815,817,818,821,823,824,826,827,831,832,833,834,835,836,839,842,843,844,845,847,848,849,850,852,857,858,860,861,865,866,867,868,872,873,874,875,876,879,880,882,885,888,890,895,896,899,902,903,904,906,908,910,911,912,915,916,920,921,922,926,927,928,930,935,936,940,946,947,948,950,951,952,954,955,959,960,963,966,968,969,977,979,982,983,986,987,988,992,993,994,998,1000,1001,1002,1004,1005,1010,1011,1012,1014,1015,1016,1017,1020,1023,1028,1029,1030,1032,1034,1035,1038,1046,1047,1048,1050,1052,1055,1056,1059,1062,1068,1071,1079,1082,1083,1084,1086,1088,1090,1091,1092,1095,1096,1098,1100,1102,1104,1107,1110,1111,1116,1120,1122,1127,1128,1131,1135,1136,1137,1138,1140,1143,1146,1148,1152,1155,1160,1161,1162,1170,1175,1176,1190,1191,1192,1194,1196,1197,1200,1206,1210,1212,1219,1220,1223,1226,1227,1228,1232,1235,1236,1239,1240,1244,1247,1248,1250,1251,1254,1255,1262,1263,1266,1270,1271,1272,1275,1276,1278,1287,1290,1298,1299,1300,1302,1304,1307,1308,1311,1312,1314,1315,1320,1323,1328,1331,1332,1335,1344,1352,1353,1354,1356,1359,1360,1362,1363,1365,1368,1370,1375,1379,1380,1383,1386,1392,1395,1400,1404,1410,1411,1425,1428,1431,1440,1450,1452,1463,1465,1466,1468,1469,1472,1473,1474,1478,1479,1480,1482,1487,1488,1491,1495,1496,1497,1498,1500,1503,1506,1507,1514,1515,1516,1518,1521,1524,1530,1541,1542,1545,1548,1551,1557,1568,1569,1570,1572,1575,1578,1584,1593,1595,1602,1622,1623,1624,1626,1628,1629,1630,1632,1635,1638,1640,1644,1647,1650,1653,1656,1660,1665,1674,1680,1682,1683,1692,1703,1704,1707,1710,1715,1719,1722,1728,1740,1743,1755,1764,1784,1785,1786,1788,1791,1794,1800,1804,1809,1815,1818,1826,1827,1836,1848,1863,1875,1881,1890,1914,1946,1947,1948,1950,1952,1953,1956,1960,1962,1968,1971,1980,1992,1998,2016,2027,2028,2031,2034,2035,2040,2043,2052,2055,2070,2075,2079,2088,2100,2106,2115,2160,2175,2178,2191,2192,2195,2198,2199,2202,2207,2208,2211,2216,2217,2220,2223,2232,2243,2244,2247,2250,2259,2270,2271,2274,2277,2286,2295,2322,2351,2352,2355,2358,2367,2376,2403,2407,2432,2433,2434,2436,2439,2440,2442,2445,2448,2450,2457,2460,2466,2475,2484,2490,2511,2520,2523,2538,2565,2592,2610,2675,2676,2679,2682,2691,2695,2700,2706,2727,2739,2754,2772,2835,2871,2918,2919,2920,2922,2924,2925,2928,2934,2940,2943,2952,2970,2988,2997,3024,3078,3132,3159,3240,3267,3375,3402,3564,3647,3648,3651,3654,3655,3660,3663,3672,3675,3690,3699,3726,3735,3780,3807,3888,3915,4050,4131,4376,4377,4378,4380,4383,4386,4392,4401,4410,4428,4455,4482,4536,4617,4698,4860,5103,5346,5832}
10        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11        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12        {1297,1621,1741,1777,1849,1931,1933,2017,2069,2086,2089,2129,2137,2141,2143,2157,2239,2269,2287,2293,2309,2311,2321,2339,2341,2347,2374,2377,2389,2393,2417,2419,2429,2509,2518,2521,2539,2551,2557,2561,2566,2572,2579,2591,2593,2609,2629,2638,2641,2647,2651,2653,2654,2663,2669,2689,2737,2749,2767,2771,2779,2782,2789,2795,2798,2801,2809,2818,2819,2821,2831,2833,2836,2857,2861,2869,2872,2878,2881,2885,2887,2894,2897,2899,2911,2917,2953,2965,2969,2971,2989,3007,3011,3013,3019,3022,3023,3037,3041,3043,3049,3061,3065,3067,3073,3076,3077,3097,3101,3109,3110,3112,3119,3121,3122,3129,3130,3133,3149,3155,3166,3169,3173,3181,3182,3191,3197,3199,3202,3203,3209,3214,3217,3218,3226,3229,3233,3235,3236,3238,3241,3281,3293,3299,3301,3305,3307,3313,3317,3319,3325,3329,3331,3337,3338,3341,3343,3346,3347,3349,3353,3358,3359,3365,3371,3373,3374,3389,3391,3394,3397,3398,3401,3421,3439,3443,3445,3449,3454,3455,3461,3463,3466,3469,3470,3473,3476,3481,3491,3493,3494,3497,3499,3502,3503,3505,3506,3508,3515,3517,3518,3521,3523,3524,3526,3529,3533,3539,3541,3543,3544,3545,3548,3550,3551,3553,3554,3557,3558,3559,3561,3563,3565,3577,3581,3583,3587,3595,3598,3601,3607,3613,3617,3623,3626,3629,3631,3637,3643,3646,3689,3691,3697,3709,3713,3716,3721,3724,3725,3733,3736,3742,3749,3757,3758,3761,3763,3769,3773,3776,3777,3778,3787,3796,3799,3802,3803,3814,3817,3821,3823,3824,3826,3829,3833,3839,3841,3842,3844,3845,3848,3849,3853,3854,3856,3857,3858,3860,3862,3865,3866,3868,3869,3871,3874,3877,3878,3881,3882,3884,3889,3905,3911,3913,3929,3931,3934,3937,3941,3943,3949,3953,3956,3957,3958,3961,3965,3967,3974,3977,3979,3981,3985,3989,3991,3994,3997,4001,4003,4006,4009,4010,4012,4013,4017,4018,4019,4022,4024,4025,4028,4029,4030,4033,4037,4039,4043,4045,4046,4047,4051,4069,4078,4081,4087,4093,4094,4096,4099,4109,4111,4117,4118,4121,4123,4124,4126,4129,4132,4138,4141,4145,4148,4157,4159,4163,4166,4169,4171,4173,4174,4177,4181,4189,4190,4193,4196,4197,4198,4201,4211,4213,4217,4219,4222,4223,4226,4227,4228,4237,4241,4243,4244,4246,4249,4252,4253,4254,4255,4258,4259,4262,4265,4268,4269,4270,4274,4276,4279,4280,4283,4288,4289,4294,4297,4298,4301,4303,4304,4306,4307,4308,4309,4310,4313,4314,4315,4317,4319,4321,4327,4331,4333,4334,4337,4339,4341,4342,4343,4345,4346,4348,4349,4355,4357,4361,4363,4366,4367,4369,4372,4373,4411,4423,4427,4429,4441,4445,4447,4451,4453,4454,4456,4462,4469,4474,4478,4481,4483,4501,4505,4507,4513,4514,4516,4517,4525,4526,4528,4529,4532,4533,4534,4535,4549,4553,4559,4561,4562,4570,4571,4573,4577,4579,4582,4583,4585,4586,4588,4589,4595,4597,4601,4603,4604,4606,4607,4609,4612,4613,4614,4615,4616,4627,4631,4633,4634,4636,4639,4643,4645,4649,4652,4654,4657,4660,4661,4664,4665,4666,4668,4669,4670,4672,4676,4678,4679,4682,4683,4684,4685,4688,4690,4691,4693,4694,4695,4696,4697,4711,4715,4717,4721,4723,4724,4726,4729,4732,4741,4742,4744,4745,4748,4749,4753,4757,4762,4763,4765,4766,4769,4771,4772,4773,4777,4778,4780,4783,4786,4789,4792,4793,4798,4799,4802,4803,4804,4805,4811,4813,4819,4821,4822,4823,4825,4826,4827,4828,4829,4832,4835,4836,4839,4841,4844,4846,4847,4850,4852,4853,4854,4855,4856,4857,4879,4891,4909,4913,4919,4921,4925,4927,4931,4933,4937,4939,4942,4945,4946,4948,4949,4955,4957,4958,4963,4964,4966,4967,4973,4975,4978,4979,4981,4985,4987,4991,4993,4996,4999,5002,5003,5006,5007,5008,5012,5014,5015,5018,5019,5023,5027,5029,5030,5032,5033,5035,5036,5037,5038,5045,5047,5053,5054,5056,5057,5061,5062,5065,5066,5068,5069,5072,5074,5077,5081,5086,5087,5089,5090,5091,5092,5093,5095,5096,5097,5098,5102,5110,5113,5116,5122,5125,5128,5129,5135,5137,5141,5143,5144,5149,5153,5155,5156,5161,5164,5165,5171,5173,5174,5176,5177,5178,5181,5182,5183,5185,5189,5191,5194,5195,5198,5199,5201,5203,5204,5205,5209,5210,5212,5213,5214,5218,5219,5221,5225,5227,5233,5234,5236,5237,5239,5241,5242,5245,5246,5249,5251,5252,5253,5254,5255,5257,5258,5259,5262,5263,5266,5269,5270,5272,5273,5276,5277,5281,5282,5284,5285,5286,5288,5289,5290,5293,5296,5297,5300,5302,5303,5305,5308,5309,5311,5314,5315,5316,5317,5318,5320,5321,5322,5325,5326,5327,5330,5331,5332,5335,5337,5338,5339,5342,5344,5345,5359,5363,5365,5369,5372,5374,5377,5378,5380,5383,5387,5389,5397,5398,5399,5405,5407,5411,5413,5417,5419,5422,5425,5426,5428,5431,5432,5435,5437,5438,5439,5442,5443,5444,5446,5449,5453,5459,5461,5462,5464,5465,5468,5469,5470,5474,5476,5477,5485,5486,5488,5489,5492,5493,5494,5497,5498,5501,5503,5504,5505,5506,5509,5513,5515,5518,5519,5524,5525,5528,5529,5530,5533,5534,5536,5537,5538,5540,5541,5545,5549,5551,5552,5554,5557,5558,5560,5561,5564,5565,5569,5570,5572,5573,5574,5575,5578,5579,5582,5583,5584,5586,5590,5593,5594,5597,5599,5601,5602,5603,5604,5606,5608,5609,5612,5613,5614,5615,5617,5618,5619,5620,5621,5622,5624,5626,5629,5630,5632,5633,5636,5637,5638,5642,5647,5648,5650,5651,5654,5657,5659,5660,5663,5664,5667,5668,5677,5678,5681,5683,5686,5689,5692,5693,5694,5695,5696,5699,5701,5702,5703,5704,5705,5708,5710,5711,5713,5714,5716,5717,5718,5719,5720,5721,5725,5726,5728,5729,5731,5732,5734,5735,5736,5739,5743,5747,5749,5750,5752,5753,5755,5756,5758,5759,5761,5762,5763,5766,5767,5768,5770,5771,5772,5773,5776,5777,5780,5781,5782,5784,5785,5787,5788,5789,5790,5792,5797,5798,5799,5802,5803,5804,5806,5807,5811,5812,5813,5815,5816,5817,5818,5819,5820,5823,5824,5825,5826,5828,5830,5831,5845,5849,5855,5857,5863,5866,5867,5873,5878,5879,5885,5891,5893,5894,5897,5899,5900,5901,5902,5909,5911,5914,5917,5918,5921,5923,5924,5925,5926,5929,5930,5932,5933,5934,5936,5937,5945,5947,5951,5953,5954,5956,5957,5959,5961,5963,5965,5966,5968,5969,5972,5974,5975,5981,5983,5986,5987,5990,5991,5993,5995,5999}
13        {3079,3361,3457,3547,3727,3779,3781,3847,3851,3959,4021,4027,4049,4229,4231,4261,4271,4273,4282,4291,4351,4519,4531,4537,4591,4618,4663,4667,4681,4687,4699,4751,4801,4831,4834,4837,4838,4849,4858,4859,4951,4969,5009,5011,5021,5039,5041,5059,5099,5101,5158,5167,5179,5197,5207,5215,5261,5279,5287,5299,5323,5329,5333,5341,5347,5441,5471,5473,5479,5491,5507,5521,5527,5531,5543,5563,5567,5581,5585,5587,5596,5605,5611,5623,5639,5641,5653,5662,5666,5669,5671,5707,5722,5723,5737,5738,5741,5765,5774,5779,5783,5791,5793,5794,5795,5801,5809,5821,5822,5827,5833,5869,5881,5903,5905,5927,5935,5938,5939,5941,5971,5977,5989}
14        {4861}
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
发表于 7 天前 | 显示全部楼层
  1. num=5000;a=Table[20,{k,num}];
  2. a[[1]]=0;a[[2]]=a[[3]]=1;
  3. For[n=4,n<=num,n++,
  4. Do[s=a[[k]]+a[[n-k]];If[s<a[[n]],a[[n]]=s],{k,2,n/2}];
  5. Do[s=a[[k]]+a[[n/k]];If[s<a[[n]],a[[n]]=s],{k,Select[Divisors@n,1<#^2<=n&]}]];
  6. Table[SelectFirst[Range@num,a[[#]]==k&],{k,0,14}]
复制代码


{1, 2, 4, 7, 13, 19, 37, 67, 109, 199, 361, 719, 1297, 3079, 4861}

点评

{1, 3, 5, 7, 11, 19, 23, 43, 59, 107, 173, 283, 383, 719, 1103, 1439, 3019, 4283, 8563, 14207}  发表于 7 天前
若改成 "用 1,2,+,×,( )=正整数" 会出来怎么样的一串数?谢谢!!!  发表于 7 天前
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
 楼主| 发表于 7 天前 | 显示全部楼层
王守恩 发表于 2025-5-22 10:08
去问DeepSeek。这样答复:
该数列无显式通项公式,但可通过动态规划递推计算。其最小次数由以下策略决定:
1 ...

拿2026去问DeepSeek。这样答复:

通过严格的递归分解和括号优化,a(2026) 的最小次数为 13。

表达式:2026 = 2(2+3(2+(2+3)(2+(2+3)(2*2+3*3))))

其中所有操作仅使用 2 和 3,且无余数“1”。用户提到的 11 次可能忽略了某些递归步骤或存在计算误差。

点评

我反复强调答案=11次,deepseek找不出来,做具体题目deepseek不行, 但deepseek思路很清晰。  发表于 7 天前
deepseek误差也不小  发表于 7 天前
2026=2*(3 + 2*(2 + 3)*(2 + 3*3*(3*3 + 2)))  发表于 7 天前
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
 楼主| 发表于 7 天前 | 显示全部楼层
northwolves 发表于 2025-5-24 10:41
1        {}        0
2        {{2}}        1
3        {{3}}        1

若U*V=W, a(U)+a(V)不一定等于a(W)——找不到通项公式——没有通项公式才迷人。

蛮有意思的一串数——比3#的还是好一些——你(这是你的)去不去OEIS求助——那是你的事——我是丢了——差不多搞懂了。
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
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