IMCS/Publications/BASM/Issues/BASM n.1 (14), 1994/

On the generalized Fibonacci sequence. (English)

Authors: Kolesnik Alexander


The generalized Fibonacci sequence $c_0 = {\beta}$, \ $c_1 = {\alpha}$, $c_n = ac_{n-1} + bc_{n-2}$, $n{\ge 2},$ is considered, where ${\alpha}, {\beta}, a, b$ are the elements of an arbitrary commutative ring with unit.
The explicit combinatorial formula for calculation the general member of the sequence is obtained.

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