Year: 2012
Type: preprint
Abstract: For any integer $r \geq 1$, the sequence of numbers $\{{c^{(r)}_{k}}\}_{k \geq 0} $ is defined implicitly by [\sum_k\binom{n}{k}^r\binom{n+k}{k}^r = \sum_k\binom{n}{k}\binom{n+k}{k}c^{(r)}_k,\quad n=0,1,2,...] Asmus Schmidt conjectured that all $c^{(r)}_k$ are integers. We give a new proof of this fact.
Source: arXiv (Cornell University)
Author: Thanatipanonda, Thotsaporn "Aek"
Institution: Johannes Kepler University of Linz
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2952995698