翻訳と辞書 Words near each other ・ Lazy (X-Press 2 song) ・ Lazy 8 Studios ・ Lazy A Motel ・ Lazy Acres, Colorado ・ Lazy Afternoon ・ Lazy Afternoon (Barbra Streisand album) ・ Lazy Afternoon (Regina Belle album) ・ Lazy Afternoon among the Crocodiles ・ Lazy argument ・ Lazy Ballerina ・ Lazy bed ・ Lazy Bend Formation ・ Lazy Bill Lucas ・ Lazy Bird ・ Lazy Bones ・ Lazy caterer's sequence ・ Lazy cisticola ・ Lazy Creek Vineyards ・ Lazy Day ・ Lazy Day (Spanky and Our Gang song) ・ Lazy Day (The Moody Blues song) ・ Lazy Days ・ Lazy Days (film) ・ Lazy Days (Gram Parsons song) ・ Lazy deletion ・ Lazy Dog ・ Lazy Dog (bomb) ・ Lazy Dog Cafe ・ Lazy Dragon Con ・ Lazy Eight Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Lazy caterer's sequence ： ウィキペディア英語版 Lazy caterer's sequence The lazy caterer's sequence, more formally known as the central polygonal numbers, describes the maximum number of pieces of a circle (a pancake or pizza is usually used to describe the situation) that can be made with a given number of straight cuts. For example, three cuts across a pancake will produce six pieces if the cuts all meet at a common point, but seven if they do not. This problem can be formalized mathematically as one of counting the cells in an arrangement of lines; for generalizations to higher dimensions, ''see'' arrangement of hyperplanes. The analogue of this sequence in 3 dimensions is the cake number. ==Formula and sequence== The maximum number ''p'' of pieces that can be created with a given number of cuts ''n'', where ''n'' ≥ 0, is given by the formula :$p\; =\; \backslash frac.$ Using binomial coefficients, the formula can be expressed as :$p\; =\; +\; 1\; =\; ++.$ This sequence , starting with $n=0$, results in :1, 2, 4, 7, 11, 16, 22, 29, 37, 46, 56, 67, 79, 92, 106, 121, 137, 154, 172, 191, 211, ... Each number equals 1 plus a triangular 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「Lazy caterer's 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.