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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Dudley triangle ： ウィキペディア英語版 Dudley triangle :''Dudley Triangle may also refer to a neighborhood of Boston, Massachusetts.'' In mathematics, the Dudley triangle is a triangular array of integers that was defined by . It consists of the numbers :$\backslash begin$ &&&&&2&&&&\\ &&&&2&&2&&&\\ &&&2&&1&&2&&\\ &&2&&0&&0&&2&\\ &2&&6&&5&&6&&2\\ &&&&&\vdots&&&&\\ \end . Dudley exhibited several rows of this triangle, and challenged readers to find the next row; the challenge was met by J. G. Mauldon, who proposed two different solutions. In one of Mauldon's solutions, the number at the intersection of the ''m''th and ''n''th diagonals (counting the top of the triangle as having ''m'' = ''n'' = 1) is given by the formula : $a(n,m)\; =\; m^2\; +\; mn\; +\; n^2\; -\; 1\; \backslash mod\; n+m+1\; \backslash ,$ ==Notes== 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Dudley triangle」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.