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On the Reciprocal Sums of Products of Balancing and Lucas-Balancing Numbers

Author

Listed:
  • Younseok Choo

    (Department of Electronic and Electrical Convergence Engineering, Hongik University, Sejong-Ro 2639, Sejong 30016, Korea)

Abstract

Recently Panda et al. obtained some identities for the reciprocal sums of balancing and Lucas-balancing numbers. In this paper, we derive general identities related to reciprocal sums of products of two balancing numbers, products of two Lucas-balancing numbers and products of balancing and Lucas-balancing numbers. The method of this paper can also be applied to even-indexed and odd-indexed Fibonacci, Lucas, Pell and Pell–Lucas numbers.

Suggested Citation

  • Younseok Choo, 2021. "On the Reciprocal Sums of Products of Balancing and Lucas-Balancing Numbers," Mathematics, MDPI, vol. 9(4), pages 1-10, February.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:4:p:350-:d:496840
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