Journal of Integer Sequences, Vol. 17 (2014), Article 14.3.1

Complementary Bell Numbers and p-adic Series

Deepak Subedi
Faculty of Science and Technology
ICFAI University Himachal Pradesh
Kalujhinda, Solan, HP-174103


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.

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(Concerned with sequence A000587.)

Received June 24 2013; revised version received February 3 2014. Published in Journal of Integer Sequences, February 15 2014.

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