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Sum Formulas Involving Powers of Balancing and Lucas-balancing Numbers


Affiliations
1 Department of Mathematics, National Institute of Technology, Rourkela, India
     

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In this article, we obtain the closed form expressions for different types of summation formulas involving certain powers of balancing and Lucas-balancing numbers using the telescoping summation formula.

Keywords

Balancing Numbers, Lucas-balancing Numbers, Telescoping Summation Formula.
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  • Sum Formulas Involving Powers of Balancing and Lucas-balancing Numbers

Abstract Views: 258  |  PDF Views: 0

Authors

S. G. Rayaguru
Department of Mathematics, National Institute of Technology, Rourkela, India
G. K. Panda
Department of Mathematics, National Institute of Technology, Rourkela, India

Abstract


In this article, we obtain the closed form expressions for different types of summation formulas involving certain powers of balancing and Lucas-balancing numbers using the telescoping summation formula.

Keywords


Balancing Numbers, Lucas-balancing Numbers, Telescoping Summation Formula.

References