Almost Balancing Numbers

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Authors

  • G. K. Panda
     Department of Mathematics, National Institute of Technology, Rourkela-769 008 ,IN
  • A. K. Panda
     Department of Mathematics, National Institute of Technology, Rourkela-769 008 ,IN

Keywords:

Triangular Numbers, Balancing Numbers, Cobalancing Numbers, Pell Numbers, Associate Pell Numbers.
Number Theory

Abstract

Almost balancing numbers are defined from a Diophantine equation slightly different from the defining equation for balancing numbers. There are two types of almost balancing numbers and are respectively the ceiling and floor functions of square roots of two types of almost square triangular numbers. These numbers are very closely associated with balancing, Lucas balancing, Pell and associated Pell numbers.

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Published

2015-12-01

How to Cite

Panda, G. K., & Panda, A. K. (2015). Almost Balancing Numbers. The Journal of the Indian Mathematical Society, 82(3-4), 147–156. Retrieved from http://informaticsjournals.com/index.php/jims/article/view/1689

Issue

Volume 82, Issue 3-4, July-December 2015

Section

Articles

License

Copyright (c) 2015 G. K. Panda, A. K. Panda

Creative Commons License

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

 

References

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