The Entringer-Poupard matrix sequence

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• 作者：Dominique Foata^a ; ^{foata@unistra.fr" class="auth_mail" title="E-mail the corresponding author} ; Guo-Niu Han^b ; ^{guoniu.han@unistra.fr" class="auth_mail" title="E-mail the corresponding author} ; Volker Strehl^c ; ^{volker.strehl@fau.de" class="auth_mail" title="E-mail the corresponding author}
• 关键词：05A15 ; 05A30 ; 11B68 ; 33B10
• 刊名：Linear Algebra and its Applications
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：512
• 期：Complete
• 页码：71-96
• 全文大小：422 K

文摘

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. They also provide a matrix refinement of the tangent/secant numbers. Moreover, their generating function can be explicitly derived.