147 citations · 679 across the 105 of their papers we have counts for
8 papers · 1 filter
Explicit formulas for enumeration of lattice paths: basketball and the kernel method
Cyril Banderier, Christian Krattenthaler, Alan Krinik +4
This article deals with the enumeration of directed lattice walks on the integers with any finite set of steps, starting at a given altitude and ending at a given altitude ,…
Normalising graphs of groups
Christian Krattenthaler, Thomas W. Müller
We discuss a partial normalisation of a finite graph of finite groups which leaves invariant the fundamental group. In conjunction with an easy graph-theoretic result,…
Motzkin numbers and related sequences modulo powers of
Christian Krattenthaler, Thomas W. Müller
We show that the generating function for Motzkin numbers , when coefficients are reduced modulo a given power of , can be expressed as a polynomial i…
Evaluation of binomial double sums involving absolute values
Christian Krattenthaler, Carsten Schneider
We show that double sums of the form can always be expressed in terms of a linear combination of ju…
Congruences modulo powers of for the number of unique path partitions
Christian Krattenthaler
We compute the congruence class modulo 16 of the number of unique path partitions of (as defined by Olsson), thus generalising previous results by Bessenrodt, Olsson and Seller…
Counting triangulations of some classes of subdivided convex polygons
Andrei Asinowski, Christian Krattenthaler, Toufik Mansour
We compute the number of triangulations of a convex -gon each of whose sides is subdivided by points. We find explicit formulas and generating functions, and we determine…