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JP Journal of Algebra, Number Theory and Applications

JP Journal of Algebra, Number Theory and Applications
Volume 40, Issue 4, Pages 449 - 459 (August 2018)
http://dx.doi.org/10.17654/NT040040449

SOME RESULTS FOR -FIBONACCI NUMBER, -LUCAS NUMBER AND -FIBONACCI-LIKE NUMBER

Alongkot Suvarnamani

Abstract:

In this paper, we study about the -Fibonacci sequence the -Lucas sequence the -Fibonacci-like sequence and the generalized -Fibonacci-like sequence We use Binet’s formulas to obtain some identities for the -Fibonacci number, the -Lucas number, the -Fibonacci-like number and the generalized -Fibonacci-like number.