{ "id": "2308.07642", "version": "v1", "published": "2023-08-15T08:47:08.000Z", "updated": "2023-08-15T08:47:08.000Z", "title": "Some experimental observations about Hankel determinants of convolution powers of Catalan numbers", "authors": [ "Johann Cigler" ], "comment": "10 pages", "categories": [ "math.CO" ], "abstract": "Computer experiments suggest some conjectures about Hankel determinants of convolution powers of Catalan numbers. Unfortunately, for most of them I have no proofs. I would like to present them anyway hoping that someone finds them interesting and can prove them.", "revisions": [ { "version": "v1", "updated": "2023-08-15T08:47:08.000Z" } ], "analyses": { "subjects": [ "05A10", "11B68", "11C20", "15A15" ], "keywords": [ "hankel determinants", "convolution powers", "catalan numbers", "experimental observations" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }