The Super Patalan Numbers

Preprint English OPEN
Richardson, Thomas M.;
(2014)
  • Subject: Mathematics - Combinatorics | 5A10, 11B37, 11B75, 15A36
    arxiv: Mathematics::Combinatorics

We introduce the super Patalan numbers, a generalization of the super Catalan numbers in the sense of Gessel, and prove a number of properties analagous to those of the super Catalan numbers. The super Patalan numbers generalize the super Catalan numbers similarly to ho... View more
  • References (6)

    [1] Emily Allen, Irina Gheorghiciuc, A weighted interpretation for the super Catalan numbers, preprint, (2014), http://arxiv.org/abs/1403.5246.

    [2] Ira M. Gessel, Super Ballot Numbers, J. Symbolic Comput, 14 (1992), 179-194.

    [3] Ira M. Gessel, Guoce Xin, A Combinatorial Interpretation of The Numbers 6(2n)!/n!(n+2)!, J. Integer Sequences, 8 (2005).

    [4] Wolfdieter Lang, Generalizations of the Stirling number triangle, J. Integer Sequences, 3 (2000).

    [5] Thomas M Richardson, The Reciprocal Pascal Matrix, preprint, (2014), http://arxiv.org/abs/1405.6315.

    [6] N. J. A. Sloane, Online Encyclopedia of Integer Sequences, Published electronically at http://oeis.org. AMS Classification Numbers: 5A10, 11B37, 11B75, 15A36. Keywords: Catalan numbers, Patalan numbers, super Catalan numbers, super Patalan numbers, generating function, Pascal matrix. (Concerned with sequences A025748-A025757, A068555, A097188, A248324- A248326, A248328, A248329, and A248332.) E-mail address: ribby@umich.edu

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