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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 Kynea number ： ウィキペディア英語版 Kynea number A Kynea number is an integer of the form :$4^n\; +\; 2^\; -\; 1$. An equivalent formula is :$(2^n\; +\; 1)^2\; -\; 2$. This indicates that a Kynea number is the ''n''th power of 4 plus the (''n'' + 1)th Mersenne number. Kynea numbers were studied by Cletus Emmanuel who named them after a baby girl.〔(Cletus Emmanuel's statement on Yahoo group PrimeNumbers )〕 The sequence of Kynea numbers starts with: : 7, 23, 79, 287, 1087, 4223, 16639, 66047, 263167, 1050623, 4198399, 16785407, ... . == Properties == The binary representation of the ''n''th Kynea number is a single leading one, followed by ''n'' - 1 consecutive zeroes, followed by ''n'' + 1 consecutive ones, or to put it algebraically: :$4^n\; +\; \backslash sum\_^n\; 2^i.$ So, for example, 23 is 10111 in binary, 79 is 1001111, etc. The difference between the ''n''th Kynea number and the ''n''th Carol number is the (''n'' + 2)th power of two. 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「Kynea 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.