Article citationsMore >>

A. F. Horadam, “A Generalized Sequence of Numbers”, The American Mathematical Monthly, 68 No. 5,(1961), pp.455-459.

has been cited by the following article:

Article

Generalization of Horadam’s Sequence

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


Turkish Journal of Analysis and Number Theory. 2016, Vol. 4 No. 4, 113-117
DOI: 10.12691/tjant-4-4-5
Copyright © 2016 Science and Education Publishing

Cite this paper:
C.N. Phadte, 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.

Correspondence to: C.N.  Phadte, Department of Mathematics, G.V.M’s College of Commerce & Economics, Ponda, Goa 403401, India. Email: dbyte09@gmail.com

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