Anti-palindromic 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 anti-palindromic 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 anti-palindromic compositions of n and the so-called tribonacci sequence, a generalization of the Fibonacci sequence. We conclude by defining a new q-analogue of the Fibonacci sequence, which is related to certain equivalence classes of anti-palindromic compositions.
This article appeared in the Fibonacci Quarterly.
Files
Metadata
Work Title | Anti-palindromic compositions |
---|---|
Access | |
Creators |
|
License | In Copyright (Rights Reserved) |
Work Type | Article |
Publisher |
|
Publication Date | May 2022 |
Related URLs | |
Deposited | August 17, 2022 |
Versions
Analytics
Collections
This resource is currently not in any collection.