DOI: 10.47000/tjmcs.1606669 ISSN: 2148-1830

On Non-Newtonian Horadam Numbers

Hasan Gökbaş
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In this paper, we give some properties of the non-Newtonian Horadam numbers, among others the Binet formula, generating function formula and the general bilinear index-reduction formula which implies d'Ocagne, Vajda, Halton, Catalan, Cassini, Ruggles and Honsberger identities. We also give the matrix representation and some sum formulas of the non-Newtonian Horadam numbers.

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