n-color 1-2 Compositiions of positive Integer
首发时间:2014-03-24
Abstract:An n-color 1-2 composition is defined as an n-color composition have only part of size 1 or 2 of positive integer. An n-color 1-2 palindromic composition is an n-color 1-2 composition in which the parts are ordered such that they are read the same forward and backwards. In this paper, we get generating function, explicit formulas and recurrence relations for n-color 1-2 compositions and n-color 1-2 palindromic compositions. In addition, we give a relation between the number of n-color 1-2 compositions and the number of n-color 1-2 palindromic compositions.
keywords: compositions of positive integer n-color 1-2 composition n-color 1-2 palindromic composition generating function explicit formulas recurrence relations
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正整数的 n-color 1-2 有序分拆
摘要:正整数的n-color 1-2 有序分拆是指正整数的只含有分部量是1或者2的n-color有序分拆,而正整数的回文的n-color 1-2有序分拆是指只含有分部量是1或者2的n-color有序分拆且分部量从前往后读与从后往前读是相等的。文章给出了正整数的n-color 1-2 有序分拆数和回文的n-color 1-2 有序分拆数的生成函数,显式公式以及递推公式。而且还给出了正整数的n-color 1-2 有序分拆数和回文的n-color 1-2 有序分拆数之间的一个关系式。
关键词: 正整数的有序分拆 n-color 1-2 有序分拆 回文的n-color 1-2有序分拆 生成函数 显式公式 递推公式
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