Europ. J. Combinatorics (1980) 1, p. 283-287

George Andrews and Dominique Foata

Congruences for the q-secant Numbers

Abstract. The q-secant number E_(2n)(q) is shown to be congruent to q^(2n(n-1)) (its term of highest degree) mod (q + 1)^2 by using the combinatorial set-up of alternating permutations.

foata@unistra.fr

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