吉林大学学报(理学版)
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郭育红
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GUO Yuhong
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摘要： 利用组合双射的方法研究正整数互为共轭的分拆均不含分部量2的有序分拆, 得到了该有序分拆数与Fibonacci数之间的一个关系式, 并利用该关系式给出这类分拆数与分部量是1,2的有序分拆数, 分部量是奇数的有序分拆数, 分部量大于1的有序分拆数之间的几个分拆恒等式.
关键词: 恒等式, Fibonacci数, 组合双射, 有序分拆
Abstract: By using combinatorial bijective method, the author studied the compositions of the mutual conjugate partition of positive integers without 2’s, and obtained a relation between the number of these compositions and the Fibonacci number. Consequently, the author gave several identities about the number of these compositions, the number of compositions into parts equal to 1 or 2, the number of compositions into odd parts and the number of compositions into parts greater than 1.
Key words: compositions; , Fibonacci number, identity, combinatorial bijective
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郭育红. 一类不含分部量2的有序分拆[J]. 吉林大学学报(理学版), 2018, 56(2): 233-236.
GUO Yuhong. A Kind of Compositions without 2’s[J]. Journal of Jilin University Science Edition, 2018, 56(2): 233-236.
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链接本文: http://xuebao.jlu.edu.cn/lxb/CN/
http://xuebao.jlu.edu.cn/lxb/CN/Y2018/V56/I2/233
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