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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 Pentagonal pyramidal number ： ウィキペディア英語版 Pentagonal pyramidal number A pentagonal pyramidal number is a figurate number that represents the number of objects in a pyramid with a pentagonal base. The ''n''th pentagonal pyramidal number is equal to the sum of the first ''n'' pentagonal numbers. The first few pentagonal pyramidal numbers are: 1, 6, 18, 40, 75, 126, 196, 288, 405, 550, 726, 936, 1183, 1470, 1800, 2176, 2601, 3078, 3610, 4200, 4851, 5566, 6348, 7200, 8125, 9126 . The formula for the ''n''th pentagonal pyramidal number is〔oeis:A002411〕 :$\backslash frac$ so the ''n''th pentagonal pyramidal number is the average of n2 and n3.〔 The ''n''th pentagonal pyramidal number is also ''n'' times the ''n''th triangular number. The generating function for the pentagonal pyramidal numbers is〔 :$\backslash frac.$ ==See also== *Triangular pyramidal number *Square pyramidal number 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「Pentagonal pyramidal 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.