有这样一串数(OEIS找不到)

王守恩

northwolves 发表于 2024-5-14 22:04
n=2,6,{1,6},{2,3}

n=3,36,{1,4,9},{2,3,6}

(2*3)(2*3)(4*5/3)(3*7/2)(4*3)(16)(3*5)(4*7)(9*5/2)(2*3*5)(32)(2*3*7)(2*3*7)(4*3*25/7)(8*7)(9*7)(4*3*5)(16*5) ......

再来一串？ 2n个不同正整数(只能是2,5的倍数),  n个数的积=n个数的积。我们希望：积是最小的。

northwolves

王守恩 发表于 2024-5-15 10:26
(2*3)(2*3)(4*5/3)(3*7/2)(4*3)(16)(3*5)(4*7)(9*5/2)(2*3*5)(32)(2*3*7)(2*3*7)(4*3*25/7)(8*7)(9*7)(4*3 ...

n=2,8,{1,8}{2,4}
n=3,80,{1,4,20}{2,5,8}
n=4,1280,{1,4,10,32},{2,5,8,16}
n=5,32000,{{1,2,16,25,40},{4,5,8,10,20}}
n=6,1280000,{4,5,8,10,20,40},{1,2,16,25,32,50}
n=7,102400000,{4,5,8,10,20,40,80},{1,2,16,25,32,50,64,100}
n=8,10240000000,{4,5,8,10,20,40,80,100},{1,2,16,25,32,50,64,125}
n=9,1638400000000,{1,2,4,25,64,80,100,125,128},{5,8,10,16,20,32,40,50,200}
n=10,327680000000000,{1,2,4,25,64,80,100,125,128,200},{5,8,10,16,20,32,40,50,160,250}

王守恩

8*10*16*25*40*80*100*160*200*......

还是没找到感觉, 再来一串？2n个不同正整数(只能是2,3的倍数),  n个数的积=n个数的积。我们希望：积是最小的。


2n个不同的正整数,  n个数的积=n个数的积。我们希望：积是最小的。

得到这样一串数:  6, 36, 240, 2520, 30240, 443520, 6652800, 133056000, 2075673600, 58118860800, 1270312243200, ......

这是最小的一串数了,  可惜她不是无限模式,  要说无限模式,  只能下面这串数了？

2^3, 2^8, 2^14, 2^23, 2^33, 2^46, 2^60, 2^77, 2^95, 2^116, 2^138, 2^163, 2^189,  ......

northwolves

s = {6, 36, 432, 6912, 165888, 5971968, 286654464, 20639121408, 1671768834048, 213986410758144, 30814043149172736, 6655833320221310976, 1437659997167803170816, 552061438912436417593344}

northwolves

n=2,6,{1,6}{2,3}
n=3,36,{1,4,9},{2,3,6}
n=4,432,{1,6,8,9},{2,3,4,18}
n=5,6912,{1,6,8,9,16},{2,3,4,12,24}
n=6,165888,{1,6,8,9,16,24},{2,3,4,12,18,32}
n=7,5971968,{3,6,8,9,12,16,24},{1,2,4,18,27,32,48}
n=8,286654464,{3,6,8,9,12,16,24,48},{1,2,4,18,27,32,36,64}
n=9,20639121408,{3,6,8,9,12,24,32,36,48},{1,2,4,16,18,27,54,64,96}
n=10,1671768834048,{3,6,8,9,12,24,32,36,48,81},{1,2,4,16,18,27,54,64,72,108}
n=11,213986410758144,{3,6,8,9,12,24,32,36,48,81,128},{1,2,4,16,18,27,54,64,72,96,144}
n=12,30814043149172736,{3,6,8,9,12,24,32,36,48,81,128,144},{1,2,4,16,18,27,54,64,72,96,108,192}
n=13,6655833320221310976,{3,6,8,9,12,24,32,36,48,81,108,128,288},{1,2,4,16,18,27,54,64,72,96,144,162,192}
n=14,1437659997167803170816,{3,6,8,9,12,24,32,36,48,96,108,128,216,243},{1,2,4,16,18,27,54,64,72,81,144,162,192,256}
n=15,552061438912436417593344,{3,6,8,9,12,24,32,36,48,108,128,162,192,216,288},{1,2,4,16,18,27,54,64,72,81,96,144,243,256,512}