On the Diophantine equation $B_{n_{1}}+B_{n_{2}}=2^{a_{1}}+2^{a_{2}}+2^{a_{3}}$
Autor: | Bhoi, Kisan, Ray, Prasanta Kumar |
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Rok vydání: | 2022 |
Předmět: | |
Zdroj: | Communications in Mathematics, Volume 31 (2023), Issue 1 (December 22, 2022) cm:10476 |
Druh dokumentu: | Working Paper |
DOI: | 10.46298/cm.10476 |
Popis: | In this study we find all solutions of the Diophantine equation $B_{n_{1}}+B_{n_{2}}=2^{a_{1}}+2^{a_{2}}+2^{a_{3}}$ in positive integer variables $(n_{1},n_{2},a_{1},a_{2},a_{3}),$ where $B_{n}$ denotes the $n$-th balancing number. Comment: 18 pages |
Databáze: | arXiv |
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