Sum formulas involving powers of balancing and Lucas-balancing numbers – II

S. G. Rayaguru and G. K. Panda
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 25, 2019, Number 3, Pages 102-110
DOI: 10.7546/nntdm.2019.25.3.102-110
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Authors and affiliations

S. G. Rayaguru
Department of Mathematics, National Institute of Technology
Rourkela, India

G. K. Panda
Department of Mathematics, National Institute of Technology
Rourkela, India

Abstract

In this paper, we derive expressions for the sums of first four powers of balancing and Lucas-balancing numbers by using the telescoping summation formula. Further, we use these new results to obtain other closed form expressions studied earlier.

Keywords

  • Balancing numbers
  • Lucas-balancing numbers
  • Telescoping summation formula

2010 Mathematics Subject Classification

  • 11B39

References

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Cite this paper

APA

Rayaguru, S.G., & Panda, G.K. (2019). Sum formulas involving powers of balancing and Lucas-balancing numbers – II. Notes on Number Theory and Discrete Mathematics, 25(3), 102-110, doi: 10.7546/nntdm.2019.25.3.102-110.

Chicago

Rayaguru, S. G. and G. K. Panda. “Sum formulas involving powers of balancing and Lucas-balancing numbers – II.” Notes on Number Theory and Discrete Mathematics. Notes on Number Theory and Discrete Mathematics 25, no. 3 (2019): 102-110, doi: 10.7546/nntdm.2019.25.3.102-110.

MLA

Rayaguru, S. G. and G. K. Panda. “Sum formulas involving powers of balancing and Lucas-balancing numbers – II” Notes on Number Theory and Discrete Mathematics 25.3 (2019): 102-110. Print, doi: 10.7546/nntdm.2019.25.3.102-110.

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