On a generalization of the Gadovan numbers

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Özkan E., Eser E., Uysal M.

Mathematica Moravica, cilt.28, sa.1, ss.109-119, 2024 (Hakemli Dergi)

Özet

In this paper, we define (k, l)-Gadovan numbers. We give the Binet-like formula, the generating functions, the exponential generating function of the (k, l)-Gadovan numbers. Also, we derive Cassinilike identity, Catalan-like identity, Vajda-like identity, Honsberger-like identity and D'ocagne-like identity for the (k, l)-Gadovan numbers.