A Study On Generalized (r; s; t)-Numbers

Abstract

Y√ɬľksel Soykan

In this paper, we investigate the generalized (r; s; t) sequence and we deal with, in detail, three special cases
which we call them (r; s; t), Lucas (r; s; t) and modified (r; s; t) sequences. We present Binet’s formulas, generating
functions, Simson formulas, and the summation formulas for these sequences. Moreover, we give some identities and
matrices related to these sequences.

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