A supercongruence for generalized Domb numbers

Details A supercongruence for generalized Domb numbers A supercongruence for generalized Domb numbers

2012-01-30

arxiv.org/abs/1201.6195v1

Mathematics

Number Theory

6 pages

Scientific paper

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.

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