Power sums in hyperbolic Pascal triangles

Author:

Németh László1,Szalay László21

Affiliation:

1. Institute of Mathematics, University of Sopron, Bajcsy Zs. u. 4, 9400 Sopron , Hungary

2. Department of Mathematics and Informatics, University J. Selye, Hradna ul. 21, 94501 Komarno , Slovakia

Abstract

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.

Publisher

Walter de Gruyter GmbH

Reference11 articles.

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3. [3] Belbachir, H. and Szalay, L., On the arithmetic triangles, fiSiauliai Math. Sem., 9 (17) (2014), 15-26.

4. [4] Cusick,T. W, Recurrences for sums of powers of binomial coeficients, Journal of Combinatorial Theory, Series A, 52 (1), (1989), 77-83.10.1016/0097-3165(89)90063-0

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