B3-subbalancing and b3-Lucas subbalancing numbers

Author:

Sari Selin1,Gözeri Gül1

Affiliation:

1. Department of Mathematics, Istanbul University, Vezneciler, Istanbul, Turkey

Abstract

In this paper, we derive some new algebraic identities on b3-subbalancing numbers and obtain the functions that generate b3-subbalancing numbers. We also introduce b3-Lucas subbalancing numbers and derive some algebraic identities between b3-Lucas subbalancing numbers and b3-subbalancing numbers. Further, we give the Binet formulas for b3-subbalancing and b3-Lucas subbalancing numbers.

Publisher

National Library of Serbia

Reference21 articles.

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2. G.K. Panda, P.K. Ray, Cobalancing numbers and cobalancers, International Journal of Mathematics and Mathematical Sciences 8 (2005) 1189-2000.

3. P.K. Ray, Balancing and cobalancing numbers (Thesis(PhD)), Department of Mathematics National Institute of Technology 2009.

4. G.K. Panda, Some fascinating properties of balancing numbers, Congressus Numerantium 194 (2009) 185-189.

5. G.K. Panda, P.K. Ray, Some links of balancing and cobalancing numbers with Pell and associated Pell numbers, Bulletin of the Institute of Mathematics Academia Sinica(New Series) 6(1) (2011) 41-72.

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