J. Integer Seq. 17(3), Article 14.3.1, 14 p., electronic only (2014)
Summary
Summary: In this article, we generalize a result of Murty on the non-vanishing of complementary Bell numbers and irrationality of a $p$-adic series. This generalization leads to a sequence of polynomials. We partially answer the question of existence of an integral zero of those polynomials.