{ "id": "2003.10705", "version": "v1", "published": "2020-03-24T07:55:15.000Z", "updated": "2020-03-24T07:55:15.000Z", "title": "Padovan numbers that are concatenations of two repdigits", "authors": [ "Mahadi Ddamulira" ], "comment": "9 pages", "categories": [ "math.NT" ], "abstract": "Let $ (P_{n})_{n\\ge 0} $ be the sequence of Padovan numbers defined by $ P_0=0 $, $ P_1 =1=P_2$, and $ P_{n+3}= P_{n+1} +P_n$ for all $ n\\ge 0 $. In this paper, we find all Padovan numbers that are concatenations of two repdigits.", "revisions": [ { "version": "v1", "updated": "2020-03-24T07:55:15.000Z" } ], "analyses": { "subjects": [ "11B39", "11D45", "11D61", "11J86" ], "keywords": [ "padovan numbers", "concatenations" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }