<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, we introduce bihyperbolic balancing and Lucas-balancing numbers. We give some of their properties, among others the Binet formula, Catalan, Cassini, d’Ocagne identities and the generating function.</p></abstract>

In this paper, we introduce bihyperbolic balancing and Lucas-balancing numbers. We give some of their properties, among others the Binet formula, Catalan, Cassini, d’Ocagne identities and the generating function.

On the Combinatorial Properties of Bihyperbolic Balancing Numbers

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"On the Combinatorial Properties of Bihyperbolic Balancing Numbers"}

In this paper, we introduce bihyperbolic balancing and Lucas-balancing numbers. We give some of their properties, among others the Binet formula, Catalan,...

On the Combinatorial Properties of Bihyperbolic Balancing Numbers

Published Online: Dec 31, 2020

Page range: 27 - 38

Received: Apr 07, 2020

DOI: https://doi.org/10.2478/tmmp-2020-0029

Keywords
balancing numbers, Lucas-balancing numbers, Binet formula, hyperbolic numbers, bihyperbolic numbers, recurrence relations

© 2020 Dorota Bród et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On the Combinatorial Properties of Bihyperbolic Balancing Numbers

Published Online: Dec 31, 2020

Page range: 27 - 38

Received: Apr 07, 2020

DOI: https://doi.org/10.2478/tmmp-2020-0029

Keywordsbalancing numbers, Lucas-balancing numbers, Binet formula, hyperbolic numbers, bihyperbolic numbers, recurrence relations

© 2020 Dorota Bród et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
balancing numbers, Lucas-balancing numbers, Binet formula, hyperbolic numbers, bihyperbolic numbers, recurrence relations