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M. Renault, The Fibonacci sequence under various moduli, Masters Thesis, 1996.

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Article

A Nonlinear Extension of Fibonacci Sequence

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


Turkish Journal of Analysis and Number Theory. 2016, Vol. 4 No. 4, 109-112
DOI: 10.12691/tjant-4-4-4
Copyright © 2016 Science and Education Publishing

Cite this paper:
M. Tamba, 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.

Correspondence to: M.  Tamba, Department of Mathematics, Goa University, Taleigaon Plateau, Goa, India. Email: tamba@unigoa.ac.in

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