Abstract
We define a surface that interpolates the ballot numbers in the Catalan triangle corresponding to every pair of nonnegative integers (except for the origin). We study the geometric properties of this surface and prove that it contains exactly five half-lines. The mean curvature and the Gauss curvature of the surface are also calculated.
Funder
Romanian Ministry of Education
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
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