Identities for second order recurrence sequences
General Mathematics
2018-06-07 v2
Abstract
We derive several identities for arbitrary homogeneous second order recurrence sequences with constant coefficients. The results are then applied to present a unified 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.
Cite
@article{arxiv.1805.06765,
title = {Identities for second order recurrence sequences},
author = {Kunle Adegoke},
journal= {arXiv preprint arXiv:1805.06765},
year = {2018}
}
Comments
18 pages, no figures, no tables