Number Theory


Identities for Second Order Recurrence Sequences

Authors: Kunle Adegoke

We derive several identities for arbitrary homogeneous second order recurrence sequences with constant coefficients. The results are then applied to present a harmonized study of six well known integer sequences, namely the Fibonacci sequence, the sequence of Lucas numbers, the Jacobsthal sequence, the Jacobsthal-Lucas sequence, the Pell sequence and the Pell-Lucas sequence.

Comments: 18 Pages.

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Submission history

[v1] 2018-06-06 02:29:12

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