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 …

Recently, a new generalization of Pascal's triangle, the so-called hyperbolic Pascal triangles
were introduced. The mathematical background goes back to the regular mosaics in the …

In this paper we introduce a new geometric object called hyperbolic Pascal pyramid. This
new object is presented by the regular cube mosaic (cubic honeycomb) in the hyperbolic …

Sažetak In this article we introduce a new type of Pascal pyramids. A regular squared
mosaic in the hyperbolic plane yields an\(h^{2} r\)-cube mosaic in space\(H^{2}\) xR and the …

The hyperbolic Pascal triangle HPT4, q (q≥ 5) is a new mathematical construction, which is
a geometrical generalization of Pascal's arithmetical triangle. In the present study we show …

In this article we introduce a new geometric object called hyperbolic Pascal simplex. This
newobject is presented by the regular hypercube mosaic in the 4-dimensional hyperbolic …

Here we summarize some results on a recently introduced new generalization of Pascal's
triangle called hyperbolic Pascal triangles. The name comes from the mathematical …

Recently, a generalization of hyperbolic Pascal triangles was introduced. These triangles
are based on the regular mosaics in the hyperbolic plane and the number of shortest paths …

Diophantine problems related to binomial coefficients have a vast literature. In this paper we
investigate power and polynomial values of row sums of hyperbolic Pascal triangles, which …

Pascal's triangle is a triangular arrangement of the binomial coefficients, which is well-
known and used in several fields of mathematics. In our review we introduce its special …