A note on congruence properties of the generalized bi-periodic Horadam sequence
Abstract
In this paper, we consider a generalization of Horadam sequence wn which is defined by the recurrence wn = awn-1 + cwn-2; if n is even, wn = bwn-1 + cwn-2; if n is odd with arbitrary initial conditions w0, w1 and nonzero real numbers a, b, and c. We investigate some congruence properties of the generalized Horadam sequence wn.
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