Fibonacci and Lucas sequences at negative indices
Fibonacci and Lucas sequences at negative indices
This study investigate the Fibonacci and Lucas sequences at neg- ative indices. In this paper we give the formulas of F????(nk+r) and L????(nk+r) depending on whether the indices are odd or even. For this purpose we con- sider a special matrix and we give various combinatorial identities related with the Fibonacci and Lucas sequences by using the matrix method. Some of the resulting identities are well known identities in the literature, but some of these are new.
- Pamukkale University Turkey
Engineering, Horadam Sequence, Recurrence Relations, Matrix Methods, Horadam Sequence, 330, Matrix Methods, Mühendislik, Recurrence Relations, Horadam Sequence;Recurrence Relations;Matrix Methods, 510
Engineering, Horadam Sequence, Recurrence Relations, Matrix Methods, Horadam Sequence, 330, Matrix Methods, Mühendislik, Recurrence Relations, Horadam Sequence;Recurrence Relations;Matrix Methods, 510
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