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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 Backhouse's constant ： ウィキペディア英語版 Backhouse's constant }}} |} Backhouse's constant is a mathematical constant named after Nigel Backhouse. Its value is approximately 1.456 074 948. It is defined by using the power series such that the coefficients of successive terms are the prime numbers, : $P(x)=1+\backslash sum\_^\backslash infty\; p\_k\; x^k=1+2x+3x^2+5x^3+7x^4+\backslash cdots$ and its multiplicative inverse as a formal power series, : $Q(x)=\backslash frac=\backslash sum\_^\backslash infty\; q\_k\; x^k.$ Then: : $\backslash lim\_\backslash left\; |\; \backslash frac\; \backslash right\; \backslash vert\; =\; 1.45607\backslash ldots$ . This limit was conjectured to exist by and the conjecture was later proved by . ==References== * *. Reproduced in (Les cahiers de Philippe Flajolet ), Hsien-Kuei Hwang, June 19, 2014, accessed 2014-12-06. * *, , 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「Backhouse's constant」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.