Generalization of Horadam’s Sequence

C.N. Phadte^1, and Y.S. Valaulikar²

¹Department of Mathematics, G.V.M’s College of Commerce & Economics, Ponda, Goa 403401, India

²Department of Mathematics, Goa University Taleigao Plateau, 403206, Goa, India

Cite this paper:
C.N. Phadte and Y.S. Valaulikar. Generalization of Horadam’s Sequence. Turkish Journal of Analysis and Number Theory. 2016; 4(4):113-117. doi: 10.12691/tjant-4-4-5

Abstract

In this paper a new class of Fibonacci like sequence is introduced. Here we consider non-homogeneous recurrence relation to obtain generalization of Horadam’s Sequence. Some identities concerning this new sequence are obtained and proved. Some examples are given in support of the results.

Keywords:
pseudo fibonacci numbers non-homogeneous recurrence relation

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References:

[1]	A. F. Horadam, “A Generalized Sequence of Numbers”, The American Mathematical Monthly, 68 No. 5,(1961), pp.455-459.
[2]	A. F. Horadam, “Basic Properties of a certain Generalized Sequence of Numbers”, The Fibonacci Quarterly, 3, No.3(1965), pp.161-176.
[3]	A. F. Horadam, “Generating functions for power of a certain Generalized Sequence of numbers”, Duke Math J. 32, No.3(1965), pp. 437-446.
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