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On generalized bihyperbolic Mersenne numbers

Dorota Bród, Anetta Szynal-Liana (2024)

Mathematica Bohemica

In this paper, a new generalization of Mersenne bihyperbolic numbers is introduced. Some of the properties of presented numbers are given. A general bilinear index-reduction formula for the generalized bihyperbolic Mersenne numbers is obtained. This result implies the Catalan, Cassini, Vajda, d'Ocagne and Halton identities. Moreover, generating function and matrix generators for these numbers are presented.

On k-triad sequences.

Gupta, Hansraj, Singh, K. (1985)

International Journal of Mathematics and Mathematical Sciences

On Rowland's sequence.

Chamizo, Fernando, Raboso, Dulcinea, Ruiz-Cabello, Serafín (2011)

The Electronic Journal of Combinatorics [electronic only]

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