The Journal of the Indian Mathematical Society

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Almost Balancing Numbers


Affiliations
1 Department of Mathematics, National Institute of Technology, Rourkela-769 008, India
     

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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 ischolar_mains of two types of almost square triangular numbers. These numbers are very closely associated with balancing, Lucas balancing, Pell and associated Pell numbers.

Keywords

Triangular Numbers, Balancing Numbers, Cobalancing Numbers, Pell Numbers, Associate Pell Numbers.
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  • Almost Balancing Numbers

Abstract Views: 309  |  PDF Views: 8

Authors

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

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 ischolar_mains of two types of almost square triangular numbers. These numbers are very closely associated with balancing, Lucas balancing, Pell and associated Pell numbers.

Keywords


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