@ARTICLE{Lassalle_anew, author = {Michel Lassalle}, title = {A new family of positive integers}, journal = {Ann. Comb}, year = {}, pages = {3--4} }
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Abstract
Let n,p,k be three positive integers. We prove that the numbers () 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.