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MMN-1793

Alternating sums in hyperbolic Pascal triangles

László Németh; László Szalay;

Abstract

A new generalization of Pascal's triangle, the so called hyperbolic Pascal triangles were introduced in \cite{BNSz}. 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 $q\ge5$.


Vol. 17 (2016), No. 2, pp. 989-998
DOI: 10.18514/MMN.2017.1793


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