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arXiv · 2208.09544

Integer Sequences and Output Arrays

John P. D'Angelo·Jiri Lebl
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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.

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John P. D'Angelo, Jiri Lebl. 2022-08-19. Integer Sequences and Output Arrays. https://arxiv.org/abs/2208.09544

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