ON THE ARITHMETIC TRIANGLES

Author:

Hacene~Belbachir,~Lasz'o~Szalay

2010 Mathematics Subject Classification:

05A10, 05A19, 11B37.

Keywords:

binomial coefficients, combinatorial identities, linear recurrences.

Abstract:

We reconsider the concept of generalized arithmetic triangles and describe the sum of the elements lying along a finite ray in one type of generalized arithmetic triangles. These sums satisfy linear recurrence relations that can be explicitly determined. A view on the extensions of the regular Pascal triangle and binomial coefficients is also provided.

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Belb_Szal_2014

Vol. 9 (17), 2014