{ "id": "2312.07134", "version": "v1", "published": "2023-12-12T10:13:08.000Z", "updated": "2023-12-12T10:13:08.000Z", "title": "On sporadic sequences", "authors": [ "Brendan Alinquant", "Robert Osburn" ], "comment": "10 pages", "categories": [ "math.NT" ], "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.", "revisions": [ { "version": "v1", "updated": "2023-12-12T10:13:08.000Z" } ], "analyses": { "subjects": [ "11A07", "11B83" ], "keywords": [ "sporadic sequences", "two-term supercongruence conjectures", "proof utilizes", "constant term", "laurent polynomial" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }