Some Identities for Palindromic Compositions Without 2's

摘要

In this paper,we study the palindromic compositions of even integers when no 2's are allowed in a composition and its conjugate.We show that the number of these palindromes is equal to 2Fn-1,where,Fn is the n-th Fibonacci number.Consequently,we obtain several identities between 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.