Power sums in hyperbolic Pascal triangles

Németh, László; Szalay, László

doi:10.2478/auom-2018-0012

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Power sums in hyperbolic Pascal triangles

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 26 (2018): Issue 1 (March 2018)

By: László Németh and László Szalay

Open Access

|Mar 2018

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 k^th power sum in the range 2 ≤ k ≤ 11.

References

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DOI: https://doi.org/10.2478/auom-2018-0012 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 189 - 203

Submitted on: Nov 20, 2016

Accepted on: Mar 13, 2017

Published on: Mar 31, 2018

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Pascal triangle,

Hyperbolic Pascal triangle,

Binomial coefficients,

Power sum.

Related subjects:

Mathematics,

General mathematics

© 2018 László Németh, László Szalay, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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