Shift Balancing Numbers

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Authors

  • S. G. Rayaguru
     Department of Mathematics, National Institute of Technology, Rourkela - 769 008 ,IN
  • G. K. Panda
     Department of Mathematics, National Institute of Technology, Rourkela - 769 008 ,IN
  • R. K. Davala
     Department of Mathematics, Gayatri Vidya Parishad College of Engineering (A), Visakhapatnam - 530048 ,IN

DOI:

https://doi.org/10.18311/jims/2020/24872

Keywords:

Balancing numbers, Lucas-balancing numbers, Gap balancing numbers, t−balancing numbers

Abstract

For each positive integer k, the Diophantine equation (k+1)+(k+2)+···+(n−1) = (n+1)+(n+2)+···+(n+r) is studied.

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Published

2020-05-15

How to Cite

Rayaguru, S. G., Panda, G. K., & Davala, R. K. (2020). Shift Balancing Numbers. The Journal of the Indian Mathematical Society, 87(1-2), 131–136. https://doi.org/10.18311/jims/2020/24872

Issue

Volume 87, Issue 1-2, January-June 2020

Section

Articles

License

Copyright (c) 2020 S. G. Rayaguru, G. K. Panda, R. K. Davala

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2020-02-07
Accepted 2020-04-10
Published 2020-05-15

 

References

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