Antipalindromic compositions
A palindromic composition of n is a composition of n which can be read the same way forwards and backwards. In this paper we define an antipalindromic composition of n to be a composition of n which has no mirror symmetry amongst its parts. We then give a surprising connection between the number of antipalindromic compositions of n and the socalled tribonacci sequence, a generalization of the Fibonacci sequence. We conclude by defining a new qanalogue of the Fibonacci sequence, which is related to certain equivalence classes of antipalindromic compositions.
This article appeared in the Fibonacci Quarterly.
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Work Title  Antipalindromic compositions 

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Publication Date  May 2022 
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Deposited  August 17, 2022 
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