The dying rabbit problem revisited
| dc.creator | Oller, Antonio M. | |
| dc.date | 2007-10-11 | |
| dc.date.accessioned | 2026-07-07T08:35:43Z | |
| dc.date.available | 2026-07-07T08:35:43Z | |
| dc.description | In this paper we study a generalization of the Fibonacci sequence in which rabbits are mortal and take more that two months to become mature. In particular we give a general recurrence relation for these sequences (improving the work in the paper Hoggatt, V. E., Jr.; Lind, D. A. "The dying rabbit problem". Fibonacci Quart. 7 1969 no. 5, 482--487) and we calculate explicitly their general term (extending the work in the paper Miles, E. P., Jr. Generalized Fibonacci numbers and associated matrices. Amer. Math. Monthly 67 1960 745--752). In passing, and as a technical requirement, we also study the behavior of the positive real roots of the characteristic polynomial of the considered sequences. | |
| dc.description | 8 pages, submitted to ANTS-VIII | |
| dc.identifier | https://arxiv.org/abs/0710.2216 | |
| dc.identifier | http://arxiv.org/abs/0710.2216 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139834 | |
| dc.subject | Number Theory | |
| dc.subject | 11B39,11B08 | |
| dc.title | The dying rabbit problem revisited | |
| dc.type | text |