Supercobalancing Numbers

Authors

  • Ravi Kumar Davala National Institute of Technology, Rourkela, India
  • G. K. Panda

DOI:

https://doi.org/10.11113/matematika.v32.n1.809

Abstract

A natural number n is called cobalancing number (with cobalancer r) if it satisfies the Diophantine equation 1+2+·· ·+n = (n+1)+(n+2)+·· ·+(n+r). However, if for some pair of natural numbers (n, r), 1+2+· · ·+n > (n+1)+(n+2)+· · ·+(n+r) and equality is achieved after adding a natural number D to the right hand side then we call n a D-supercobalancing number with D-supercobalaner number r. In this paper, such numbers are studied for certain values of D.

Author Biography

Ravi Kumar Davala, National Institute of Technology, Rourkela, India

Department of Mathematics

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Published

2016-06-30

How to Cite

Davala, R. K., & Panda, G. K. (2016). Supercobalancing Numbers. MATEMATIKA: Malaysian Journal of Industrial and Applied Mathematics, 32(1), 31–42. https://doi.org/10.11113/matematika.v32.n1.809

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