Congruences and relations for r-Fishburn numbers
Number Theory
2014-06-24 v1 Combinatorics
Abstract
Recently Andrews and Sellers proved some amazing congruences for the Fishburn numbers. We extend their results to a more general sequence of numbers. As a result we prove a new congruence mod 23 for the Fishburn numbers and prove their conjectured mod 5 congruence for a related sequence. We also extend and prove some unpublished conjectures of Garthwaite and Rhoades.
Cite
@article{arxiv.1406.5611,
title = {Congruences and relations for r-Fishburn numbers},
author = {Frank Garvan},
journal= {arXiv preprint arXiv:1406.5611},
year = {2014}
}
Comments
15 pages