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# [分享] 计算圆周率的马青公式

楼主| 发表于 2020-11-27 12:30:32 | 显示全部楼层
 lsr314 发表于 2020-11-27 00:11 我知道你是怎么得来的了，利用了$37=6^2+1$ 不知道你说的是什么意思！

楼主| 发表于 2020-11-27 12:38:39 | 显示全部楼层
 lsr314 发表于 2020-11-27 10:47 你不是要三项吗，那里三项，四项的都有，引用的已经是目前最好的结果了3 ArcTan[4291039/99429196] + 13 ArcTan[5/99] // FullSimplify复制代码 $13 \tan ^{-1}\left(\frac{5}{99}\right)+3 \tan ^{-1}\left(\frac{4291039}{99429196}\right)$

楼主| 发表于 2020-11-27 12:52:52 | 显示全部楼层
 本帖最后由 mathematica 于 2020-11-27 12:57 编辑 22 ArcTan[17014395978641495719/2082431079356889478358] +   61 ArcTan[685601/69049993] // FullSimplify复制代码 $61 \tan ^{-1}\left(\frac{685601}{69049993}\right)+22 \tan ^{-1}\left(\frac{17014395978641495719}{2082431079356889478358}\right)$ 数值差不多是 $22 \tan ^{-1}(0.00817)+61 \tan ^{-1}(0.009929)$

楼主| 发表于 2020-11-27 13:08:07 | 显示全部楼层
 -5 ArcTan[685601/69049993] + 22 ArcTan[3/79] // FullSimplify复制代码 $22 \tan ^{-1}\left(\frac{3}{79}\right)-5 \tan ^{-1}\left(\frac{685601}{69049993}\right)$

 本帖最后由 lsr314 于 2020-11-27 14:27 编辑 99 ArcTan[    1066267149847167315579490402377505014663714733521178290558922528826156648535722953801728/     222470405377470850243091288520397821267361269882560150856229364406815305926180285924245504] + 61 ArcTan[    73123064661737095669076253640742568023997954450880942347488866948225235649393566591906074883237721849797739019331681382942445067399730735087616/143465071652824076575215971184919343183382031844826666248161147\ 01130022719688619467831547383263177604653341129782632370199793422082470802318426112]复制代码$99 ArcTan[1066267149847167315579490402377505014663714733521178290558922528826156648535722953801728/222470405377470850243091288520397821267361269882560150856229364406815305926180285924245504]+ 61 ArcTan[73123064661737095669076253640742568023997954450880942347488866948225235649393566591906074883237721849797739019331681382942445067399730735087616/14346507165282407657521597118491934318338203184482666624816114701130022719688619467831547383263177604653341129782632370199793422082470802318426112]$ 比值分别是0.00479285和0.00509692

楼主| 发表于 2020-11-27 16:30:18 | 显示全部楼层
 lsr314 发表于 2020-11-27 14:26 \$99 ArcTan[1066267149847167315579490402377505014663714733521178290558922528826156648535722953801728/ ... 你可以说说你的是怎么搞出来的

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