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An Alternating Sum of Fibonacci and Lucas Numbers of Order k

Author

Listed:
  • Spiros D. Dafnis

    (Department of Business Administration, University of the Aegean, GR 821-32 Chios, Greece)

  • Andreas N. Philippou

    (Department of Mathematics, University of Patras, GR 265-00 Patras, Greece)

  • Ioannis E. Livieris

    (Department of Mathematics, University of Patras, GR 265-00 Patras, Greece)

Abstract

During the last decade, many researchers have focused on proving identities that reveal the relation between Fibonacci and Lucas numbers. Very recently, one of these identities has been generalized to the case of Fibonacci and Lucas numbers of order k . In the present work, we state and prove a new identity regarding an alternating sum of Fibonacci and Lucas numbers of order k . Our result generalizes recent works in this direction.

Suggested Citation

  • Spiros D. Dafnis & Andreas N. Philippou & Ioannis E. Livieris, 2020. "An Alternating Sum of Fibonacci and Lucas Numbers of Order k," Mathematics, MDPI, vol. 8(9), pages 1-4, September.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:9:p:1487-:d:408063
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    Cited by:

    1. Ivana Matoušová & Pavel Trojovský, 2020. "On Coding by (2, q )-Distance Fibonacci Numbers," Mathematics, MDPI, vol. 8(11), pages 1-24, November.

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