Factorial-like values in the balancing sequence
| dc.authorid | IRMAK, Nurettin/0000-0003-0409-4342 | |
| dc.authorid | Szalay, Laszlo/0000-0002-4582-6100 | |
| dc.contributor.author | Irmak, Nurettin | |
| dc.contributor.author | Liptai, Kalman | |
| dc.contributor.author | Szalay, Laszlo | |
| dc.date.accessioned | 2024-11-07T13:32:55Z | |
| dc.date.available | 2024-11-07T13:32:55Z | |
| dc.date.issued | 2018 | |
| dc.department | Niğde Ömer Halisdemir Üniversitesi | |
| dc.description.abstract | In this paper, we solve a few Diophantine equations linked to balancing numbers and factorials. The basic problem consists of solving the equation B-y = x! in positive integers x, y, which has only one nontrivial solution B-2 = 6 = 3!, as a direct consequence of the theorem of F. Luca [5]. A more difficult problem is to solve B-y = x(2)!/x(1)!, but we were able to handle it under some conditions. Two related problems are also studied. | |
| dc.identifier.endpage | 204 | |
| dc.identifier.issn | 1331-0623 | |
| dc.identifier.issue | 2 | |
| dc.identifier.scopus | 2-s2.0-85059092588 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 197 | |
| dc.identifier.uri | https://hdl.handle.net/11480/15661 | |
| dc.identifier.volume | 23 | |
| dc.identifier.wos | WOS:000443101100004 | |
| dc.identifier.wosquality | Q2 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Univ Osijek, Dept Mathematics | |
| dc.relation.ispartof | Mathematical Communications | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_20241106 | |
| dc.subject | Factorials | |
| dc.subject | balancing numbers | |
| dc.subject | diophantine equation | |
| dc.title | Factorial-like values in the balancing sequence | |
| dc.type | Article |
