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Binomial coefficients and anti-exceedances of even permutations: A combinatorial proof

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Publication:1801794
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DOI10.1016/0097-3165(93)90064-FzbMath0777.05002MaRDI QIDQ1801794

Roberto Mantaci

Publication date: 28 November 1993

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)


zbMATH Keywords

permutationsalternating groupbinomial coefficientsEulerian numberanti-exceedance


Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Permutations, words, matrices (05A05)


Related Items

Gamma positivity of the excedance-based Eulerian polynomial in positive elements of classical Weyl groups ⋮ Permutations by number of fixed points and anti-excedances ⋮ Signed excedance enumeration in the hyperoctahedral group ⋮ An involution on derangements preserving excedances and right-to-left minima ⋮ Signed alternating descent enumeration in classical Weyl groups ⋮ Unnamed Item ⋮ Parity alternating permutations and signed Eulerian numbers ⋮ Signed excedance enumeration via determinants ⋮ Log-concavity of the excedance enumerators in positive elements of type A and type B Coxeter groups



Cites Work

  • Théorie géométrique des polynômes eulériens
  • Unnamed Item
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