The Journal of the Indian Mathematical Society

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Shift Balancing Numbers


Affiliations
1 Department of Mathematics, National Institute of Technology, Rourkela - 769 008, India
2 Department of Mathematics, Gayatri Vidya Parishad College of Engineering (A), Visakhapatnam - 530048, India
     

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

Keywords

Lancing Numbers, Lucas-Balancing Numbers, Gap Balancing Numbers, t−balancing Numbers.
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  • Shift Balancing Numbers

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Authors

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

Abstract


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

Keywords


Lancing Numbers, Lucas-Balancing Numbers, Gap Balancing Numbers, t−balancing Numbers.

References





DOI: https://doi.org/10.18311/jims%2F2020%2F24872