A new family of positive integers

Details A new family of positive integers A new family of positive integers

2002-10-14

arxiv.org/abs/math/0210208v2

Annals of Combinatorics 6 (2002), 399-405.

Mathematics

Combinatorics

Enlarged version, LaTeX, 7 pages

Scientific paper

Let n,p,k be three positive integers. We prove that the numbers binomial
(n,k) 3F2 (1-k, -p, p-n ; 1, 1-n ; 1) are positive integers which generalize
the classical binomial coefficients. We give two generating functions for these
integers, and a straightforward application.

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