Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica (Mar 2018)
Power sums in hyperbolic Pascal triangles
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.
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