<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this paper, we describe a method to determine the power sum of the elements of the rows in the hyperbolic Pascal triangles corresponding to –4, q} with q ≥ 5. The method is based on the theory of linear recurrences, and the results are demonstrated by evaluating the k<sup>th</sup> power sum in the range 2 ≤ k ≤ 11. </p></abstract>

In this paper, we describe a method to determine the power sum of the elements of the rows in the hyperbolic Pascal triangles corresponding to –4, q} with q ≥ 5. The method is based on the theory of linear recurrences, and the results are demonstrated by evaluating the kth power sum in the range 2 ≤ k ≤ 11.

Power sums in hyperbolic Pascal triangles

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Power sums in hyperbolic Pascal triangles"}

In this paper, we describe a method to determine the power sum of the elements of the rows in the hyperbolic Pascal triangles corresponding to –4, q} with q ≥...

Power sums in hyperbolic Pascal triangles

Published Online: Mar 31, 2018

Page range: 189 - 203

Received: Nov 20, 2016

Accepted: Mar 13, 2017

DOI: https://doi.org/10.2478/auom-2018-0012

Keywords
Pascal triangle, Hyperbolic Pascal triangle, Binomial coefficients, Power sum.

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Power sums in hyperbolic Pascal triangles

Published Online: Mar 31, 2018

Page range: 189 - 203

Received: Nov 20, 2016

Accepted: Mar 13, 2017

DOI: https://doi.org/10.2478/auom-2018-0012

KeywordsPascal triangle, Hyperbolic Pascal triangle, Binomial coefficients, Power sum.

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Pascal triangle, Hyperbolic Pascal triangle, Binomial coefficients, Power sum.