6 citations · 10 across the 7 of their papers we have counts for
4 papers · 1 filter
Binomial Determinants for Tiling Problems Yield to the Holonomic Ansatz
Hao Du, Christoph Koutschan, Thotsaporn Thanatipanonda +1
We present and prove closed form expressions for some families of binomial determinants with signed Kronecker deltas that are located along an arbitrary diagonal in the correspondi…
There are EXACTLY 1493804444499093354916284290188948031229880469556 Ways to Derange a Standard Deck of Cards (ignoring suits) [and many other such useful facts]
Shalosh B. Ekhad, Christoph Koutschan, Doron Zeilberger
In this memorial tribute to Joe Gillis, who taught us that Special Functions count, we show how the seminal Even-Gillis integral formula for the number of derangements of a multise…
Tweaking the Beukers Integrals In Search of More Miraculous Irrationality Proofs A La Apery
Robert Dougherty-Bliss, Christoph Koutschan, Doron Zeilberger
There are only aleph-zero rational numbers, while there are 2 to the power aleph-zero real numbers. Hence the probability that a randomly chosen real number would be rational is 0.…
Legendre pairs of lengths (mod )
Ilias Kotsireas, Christoph Koutschan
We prove a proposition that connects constant-PAF sequences and the corresponding Legendre pairs with integer PSD values. We show how to determine explicitly the complete spectrum…