Some Properties of k-Jacobsthal Numbers with Arithmetic Indexes

Deepika Jhala^1, , G.P.S. Rathore² and Kiran Sisodiya¹

¹School of Studies in Mathematics, Vikram University, Ujjain (India)

²College of Horticulture, Mandsaur (M.P.)

Cite this paper:
Deepika Jhala, G.P.S. Rathore and Kiran Sisodiya. Some Properties of k-Jacobsthal Numbers with Arithmetic Indexes. Turkish Journal of Analysis and Number Theory. 2014; 2(4):119-124. doi: 10.12691/tjant-2-4-3

Abstract

In this paper, we derive various formulae for the sum of k-Jacobsthal numbers with indexes in an arithmetic sequence, say an+r for fixed integers a and r Also, we describe generating function and the alternated sum formula for k-Jacobsthal numbers with indexes in an arithmetic sequence.

Keywords:
k-jacobsthal numbers binet formula generating function

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