翻訳と辞書
Words near each other
・ Mibe architecture
・ Mibefradil
・ Mibladen
・ Mianyang
・ Mianyang Nanjiao Airport
・ Mianyang Normal University
・ Mianyang Stadium
・ Mianyang, Wuhua County
・ Mianzhu
・ Mianzimu
・ Mianzini mole-rat
・ Mianzu
・ Mianzulan
・ Mianów
・ Mianówek
Mian–Chowla sequence
・ Miao
・ Miao (album)
・ Miao (Unicode block)
・ Miao Fu
・ Miao Hua
・ Miao Jinqing
・ Miao Lijie
・ Miao Miao
・ Miao Peinan
・ Miao people
・ Miao Pu
・ Miao Qing
・ Miao Rebellion
・ Miao Rebellion (1735–36)


Dictionary Lists
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.