Binary compositions and semi-Pell compositions
Combinatorics
2019-12-25 v1
Abstract
In analogy with the semi-Fibonacci partitions studied recently by Andrews, we define semi-Pell compositions and semi--Pell compositions. We find that these are in bijection with certain weakly unimodal -ary compositions. We give generating functions, bijective proofs, and a number of unexpected congruences for these objects.
Cite
@article{arxiv.1912.11148,
title = {Binary compositions and semi-Pell compositions},
author = {William J. Keith and Augustine O. Munagi},
journal= {arXiv preprint arXiv:1912.11148},
year = {2019}
}
Comments
15 pages. Submitted