Integer Sequences and Output Arrays
Number Theory
2022-08-23 v1 Combinatorics
Abstract
The first author recently introduced an integer sequence now numbered A355519 in OEIS. This sequence arose from counting bracket tournaments; its study evokes the analysis of the Catalan triangle (sequence A009766 in OEIS) and the related Catalan numbers, sequence A000108 in OEIS. We therefore introduce a general construction that places these sequences on the same footing and suggests many new integer sequences. We provide code for performing this construction and a lengthy list of examples. This construction determines a function from input sequences to output sequences. Some of the resulting output sequences are in OEIS and others are not.
Cite
@article{arxiv.2208.09544,
title = {Integer Sequences and Output Arrays},
author = {John P. D'Angelo and Jiri Lebl},
journal= {arXiv preprint arXiv:2208.09544},
year = {2022}
}
Comments
14 pages