On the shifted product of binary recurrences
The present paper studies the diophantine equation GnHn + c = x2n and related questions, where the integer binary recurrence sequences {G}, {H} and {x} satisfy the same recurrence relation, and c is a given integer. We prove necessary and sufficient conditions for the solubility of GnHn + c = x2n. F...
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| Main Authors: | , , |
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| Format: | Article |
| Published: |
2010
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| Series: | JOURNAL OF INTEGER SEQUENCES - ONLINE
13 No. 6 |
| Subjects: | |
| Online Access: | http://publicatio.uni-sopron.hu/291 |
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| 245 | 1 | 3 | |a On the shifted product of binary recurrences |h [elektronikus dokumentum] / |c Khadir O |
| 260 | |c 2010 | ||
| 300 | |a 1-12 | ||
| 490 | 0 | |a JOURNAL OF INTEGER SEQUENCES - ONLINE |v 13 No. 6 | |
| 520 | 3 | |a The present paper studies the diophantine equation GnHn + c = x2n and related questions, where the integer binary recurrence sequences {G}, {H} and {x} satisfy the same recurrence relation, and c is a given integer. We prove necessary and sufficient conditions for the solubility of GnHn + c = x2n. Finally, a few relevant examples are provided. | |
| 650 | 4 | |a matematika- és számítástudományok | |
| 700 | 0 | 1 | |a Liptai Kálmán |e aut |
| 700 | 0 | 1 | |a Szalay László |e aut |
| 856 | 4 | 0 | |u http://publicatio.uni-sopron.hu/291/1/szalay11.pdf |z Dokumentum-elérés |