Some Identities for the Palindromes of Even Integers Without 2’s
Some Identities for the Palindromes of Even Integers Without 2’s
投稿时间:2017-03-03  最后修改时间:2017-05-23
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英文关键词:palindrome  the Fibonacci number  identity  combinatorial proof
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作者单位E-mail
郭育红 河西学院数学 gyh7001@163.com 
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      In this paper, we study the palindromes of even integers when no 2’s are allowed in both composition and its conjugate composition. And we find the number of these palindromes equal to 2F_n?1 , where, F_n is the n^th Fibonacci number. Consequently, we obtain several identities about the number of these palindromes, the number of compositions into parts equal to 1’s or 2’s, the number of compositions into odd parts and the number of compositions into parts greater than 1.
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