Divisibility properties of some fibonacci-type sequences

@inproceedings{Horadam1979DivisibilityPO,
title={Divisibility properties of some fibonacci-type sequences},
author={A. F. Horadam and R. P. Loh and A. Shannon},
year={1979}
}

A generalized Fibonacci-type sequence is defined from a fourth order homogeneous linear recurrence relation, and various divisibility properties are developed. In particular, the notion of a proper divisor is modified to develop formulas for proper divisors in terms of the general terms of the recurrence sequences and various arithmetic functions.