Research Article
Year 2013,
Volume: 42 Issue: 4, 331 - 338, 01.04.2013
Abstract
In this study, we define a generalization of Lucas sequence{p n }. Thenwe obtain Binet formula of sequence{p n } . Also, we investigate relationships between generalized Fibonacci and Lucas sequences.
References
- Horadam, A. F. A generalized Fibonacci Sequence, Amer. Math. Monthly, 68, 455–459, 1961. Edson, M. and Yayenie, O. A new generalization of Fibonacci sequences and extended Binet’s Formula, Integer 9, (#A48), 639–654, 2009.
- Yayenie, O. A note on generalized Fibonacci sequences, Applied. Math. Comp. 217 (12), 5603–5611, 2011.
- Koshy, T. Fibonacci And Lucas Numbers with Applications, Wiley, New York, 2001.
- Vajda, S. Fibonacci & Lucas Numbers and the Golden Section, Theory and Applications, Ellis Horwood Ltd., Chishester, 1989.
- Cooper, C. An identity for period k second order linear recurrence systems, Cong. Numer. 200, 95–106, 2010.
- Sahin, M. The Gelin-Cesaro identity in some conditional Sequences, Hacettepe Journal of Mathematics and Statistics, 40, 855–861, 2011.
- Irmak, N. and Szalay, L. On k −periodic Binary Recurrence, Ann. Math. Inform. 40, 25–35, 20
Year 2013,
Volume: 42 Issue: 4, 331 - 338, 01.04.2013
Abstract
References
- Horadam, A. F. A generalized Fibonacci Sequence, Amer. Math. Monthly, 68, 455–459, 1961. Edson, M. and Yayenie, O. A new generalization of Fibonacci sequences and extended Binet’s Formula, Integer 9, (#A48), 639–654, 2009.
- Yayenie, O. A note on generalized Fibonacci sequences, Applied. Math. Comp. 217 (12), 5603–5611, 2011.
- Koshy, T. Fibonacci And Lucas Numbers with Applications, Wiley, New York, 2001.
- Vajda, S. Fibonacci & Lucas Numbers and the Golden Section, Theory and Applications, Ellis Horwood Ltd., Chishester, 1989.
- Cooper, C. An identity for period k second order linear recurrence systems, Cong. Numer. 200, 95–106, 2010.
- Sahin, M. The Gelin-Cesaro identity in some conditional Sequences, Hacettepe Journal of Mathematics and Statistics, 40, 855–861, 2011.
- Irmak, N. and Szalay, L. On k −periodic Binary Recurrence, Ann. Math. Inform. 40, 25–35, 20
There are 7 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Statistics |
| Journal Section | Mathematics |
| Authors | |
| Publication Date | April 1, 2013 |
| Published in Issue | Year 2013 Volume: 42 Issue: 4 |