Superbinomial coefficients

Journal of Algebraic Combinatorics, vol. 55, pp. 1007–1028

Abstract

Abstract We investigate several families of polynomials that are related to certain Euler type summation operators. Being integer valued at integral points, they satisfy combinatorial properties and nearby symmetries, due to triangle recursion relations involving squares of polynomials. Some of these interpolate the Delannoy numbers. The results are motivated by and strongly related to our study of irreducible Lie supermodules, where dimension polynomials in many cases show similar features.

Authors 2

1. Kathrin Maurischat corresponding Aachen Lehrstuhl A für Mathematik

   RWTH Aachen University

   Affiliation as printed

   Lehrstuhl A für Mathematik, RWTH Aachen University, Templergraben 55, 52062, Aachen, Germany

2. Rainer Weissauer

   Heidelberg University

   Affiliation as printed

   Mathematisches Institut, Heidelberg University, Im Neuenheimer Feld 205, 69120, Heidelberg, Germany