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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 Genocchi number ： ウィキペディア英語版 Genocchi number In mathematics, the Genocchi numbers G''n'', named after Angelo Genocchi, are a sequence of integers that satisfy the relation :$$ \frac=\sum_^ G_n\frac The first few Genocchi numbers are 1, −1, 0, 1, 0, −3, 0, 17 , see . == Properties == * The generating function definition of the Genocchi numbers implies that they are rational numbers. In fact, G''2n+1'' = 0 for ''n'' ≥ 1 and (−1)''n''G''2n'' is an odd positive integer. * Genocchi numbers ''G''''n'' are related to Bernoulli numbers ''B''''n'' by the formula : $$ G_=2 \,(1-2^n) \,B_n. There are two cases for $G\_n$. : 1. $B\_1\; =\; -1/2$     from / :: $G\_\}$ = -1, -1, 0, 1, 0, -3 = . Generating function: $\backslash frac$ The rows are respectively (n) / (n+1), −, and . A row is 0 followed by n (positive) multiplied by the preceding row. The sequences are alternatively of the second and the first kind. * It has been proved that −3 and 17 are the only prime Genocchi numbers. 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「Genocchi number」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.