Ira M. Gessel

most citedA Combinatorial Interpretation of The Numbers

6 (2 n)! / n! (n + 2)!

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math.CO2009

Multilinear generating functions for Charlier polynomials

Ira M. Gessel, Pallavi Jayawant

Charlier configurations provide a combinatorial model for Charlier polynomials. We use this model to give a combinatorial proof of a multilinear generating function for Charlier po…

math.CO2004★ 19 cited

A Combinatorial Interpretation of The Numbers $6 (2 n)! / n! (n + 2)!$

Ira M. Gessel, Guoce Xin

It is well known that the numbers $(2 m)! (2 n)! / m! n! (m + n)!$ are integers, but in general there is no known combinatorial interpretation for them. When $m = 0$ these numbers are the…

Multilinear generating functions for Charlier polynomials

A Combinatorial Interpretation of The Numbers 6(2n)!/n!(n+2)!

A Combinatorial Interpretation of The Numbers $6 (2 n)! / n! (n + 2)!$