Properties of Generalized (r,s,t,u)-Numbers
Abstract
In this paper, we investigate the generalized (r,s,t,u) sequence and we deal with, in detail, three special cases which we call them (r,s,t,u), Lucas (r,s,t,u) and modified (r,s,t,u) 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 with these sequences.
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