Alternating sums in hyperbolic Pascal triangles

Németh, László and Szalay, László (2016) Alternating sums in hyperbolic Pascal triangles. MISKOLC MATHEMATICAL NOTES, 17 (2). pp. 989-998. ISSN 1787-2405

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Abstract

A new generalization of Pascal’s triangle, the so-called hyperbolic Pascal triangles were introduced in [1]. The mathematical background goes back to the regular mosaics in the hyperbolic plane. The alternating sum of elements in the rows was given in the special case {4, 5} of the hyperbolic Pascal triangles. In this article, we determine the alternating sum generally in the hyperbolic Pascal triangle corresponding to {4, q} with q ≥ 5.

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