New representations for all sporadic Apéry-like sequences, with applications to congruences

We find new representations, in terms of constant terms of powers of Laurent polynomials, for all the 15 sporadic Apéry-like sequences discovered by Zagier, Almkvist-Zudilin and Cooper. The new representations lead to binomial expressions for the sequences, which, as opposed to previous expressions,...

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Bibliographic Details
Main Author: Gorodetsky, O
Format: Journal article
Language:English
Published: Taylor and Francis 2021