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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 Mian-Chowla sequence ： ウィキペディア英語版 Mian–Chowla sequence In mathematics, the Mian–Chowla sequence is an integer sequence defined recursively in the following way. The sequence starts with :$a\_1\; =\; 1.$ Then for $n>1$, $a\_n$ is the smallest integer such that the pairwise sum :$a\_i\; +\; a\_j$ is distinct, for all $i$ and $j$ less than or equal to $n$. ==Properties== Initially, with $a\_1$, there is only one pairwise sum, 1 + 1 = 2. The next term in the sequence, $a\_2$, is 2 since the pairwise sums then are 2, 3 and 4, i.e., they are distinct. Then, $a\_3$ can't be 3 because there would be the non-distinct pairwise sums 1 + 3 = 2 + 2 = 4. We find then that $a\_3\; =\; 4$, with the pairwise sums being 2, 3, 4, 5, 6 and 8. The sequence thus begins :1, 2, 4, 8, 13, 21, 31, 45, 66, 81, 97, 123, 148, 182, 204, 252, 290, 361, 401, 475, ... . 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「Mian–Chowla sequence」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.