A Nonlinear Extension of Fibonacci Sequence

M. Tamba^1, and Y.S. Valaulikar¹

¹Department of Mathematics, Goa University, Taleigaon Plateau, Goa, India

Cite this paper:
M. Tamba and Y.S. Valaulikar. A Nonlinear Extension of Fibonacci Sequence. Turkish Journal of Analysis and Number Theory. 2016; 4(4):109-112. doi: 10.12691/tjant-4-4-4

Abstract

A new extension of Fibonacci sequence which yields a nonlinear second order recurrence relation is defined. Some identities and congruence properties for the new sequence are obtained.

Keywords:
fibonacci sequence nonlinear recurrence relation congruence properties

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