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.
Sponsorship
Science Foundation Ireland
Type of Material
Journal Article
Publisher
Faculty of Mathematics and Computer Science, Adam Mickiewicz University
Journal
Functiones et Approximatio, Commentarii Mathematici