A supercongruence for generalized Domb numbers
Number Theory
2021-02-03 v2 Combinatorics
Abstract
Using techniques due to Coster, we prove a supercongruence for a generalization of the Domb numbers. This extends a recent result of Chan, Cooper and Sica and confirms a conjectural supercongruence for numbers which are coefficients in one of Zagier's seven "sporadic" solutions to second order Apery-like differential equations.
Cite
@article{arxiv.1201.6195,
title = {A supercongruence for generalized Domb numbers},
author = {Robert Osburn and Brundaban Sahu},
journal= {arXiv preprint arXiv:1201.6195},
year = {2021}
}
Comments
7 pages, to appear in Funct. Approx. Comment. Math