Linear Algebra and Its Applications, 512, 2017, pp. 71-96

Dominique Foata, Guo-Niu Han, Volker Strehl

THE ENTRINGER-POUPARD MATRIX SEQUENCE

Abstract. The so-called Entringer-Poupard matrices naturally occur when the distribution of the statistical pair ("last letter'', "greater neighbor of maximum'') is under study on the set of alternating permutations. Closed formulas for three-variate generating functions are derived. An extension to the l-tangent numbers provides similar results.

foata at unistra dot fr, guoniu dot han at unistra dot fr

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