Moments of combinatorial and Catalan numbers

  1. Miana, P.J. 1
  2. Romero, N. 2
  1. 1 Universidad de Zaragoza
    info

    Universidad de Zaragoza

    Zaragoza, España

    ROR https://ror.org/012a91z28

  2. 2 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Journal:
Journal of Number Theory

ISSN: 0022-314X

Year of publication: 2010

Volume: 130

Issue: 8

Pages: 1876-1887

Type: Article

DOI: 10.1016/J.JNT.2010.01.018 SCOPUS: 2-s2.0-77953081922 WoS: WOS:000278481100012 GOOGLE SCHOLAR

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Abstract

In this paper we obtain the moments {Φm}m0 defined by. where (mn) is the usual combinatorial number. We also provide the moments in the Catalan triangle whose (n,p) entry is defined by. and, in particular, new identities involving the well-known Catalan numbers. © 2010 Elsevier Inc.