PuzzleUp 2010 (4) Impossible Square Sum - 拼圖
By Brianna
at 2010-08-05T22:12
at 2010-08-05T22:12
Table of Contents
因為utomaya大的歸納法是對的
我就連到Worfram Alpha大神,請他幫我算這兩個式子
(1+x)(1+x^4)(1+x^9)...(1+x^81)
(1+x)(1+x^4)(1+x^9)...(1+x^81)(1+x^100)
計算結果中出現的所有x^k就是可以用相異平方和表示的所有整數
(我也注意到分解法往往有許多種)
兩式分別是1~9平方、1~10平方之結果
然後靠仔細的觀察我就get了答案,感謝mathmatica大神的努力
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By Thomas
at 2010-08-07T19:42
at 2010-08-07T19:42
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