On sporadic sequences
Number Theory
2025-07-14 v2 Combinatorics
Abstract
In this note, we prove the last remaining case of the original 15 two-term supercongruence conjectures for sporadic sequences. The proof utilizes a new representation for this sequence (due to Gorodetsky) as the constant term of powers of a Laurent polynomial.
Keywords
Cite
@article{arxiv.2312.07134,
title = {On sporadic sequences},
author = {Brendan Alinquant and Robert Osburn},
journal= {arXiv preprint arXiv:2312.07134},
year = {2025}
}
Comments
15 pages, added Section 4, to appear in Monatshefte f\"ur Mathematik