Some Properties of k-Jacobsthal Numbers with
Arithmetic Indexes
Deepika Jhala1,*, G.P.S. Rathore2
, Kiran Sisodiya1
1
School of Studies in Mathematics, Vikram University, Ujjain (India) 2
College of Horticulture, Mandsaur (M.P.)
*Corresponding author: jhala.deepika28@gmail.com
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
Cite This Article: 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, vol. 2, no. 4 (2014): 119-
124. doi: 10.12691/tjant-2-4-3.