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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| Summary: | 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. |
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| Physical Description: | 1-12 |
| ISSN: | 1530-7638 |