Journal of Integer Sequences, Vol. 18 (2015), Article 15.9.6

On Certain Sums of Stirling Numbers with Binomial Coefficients

H. W. Gould
Department of Mathematics
West Virginia University
Morgantown, WV 26506

Harris Kwong
Department of Mathematical Sciences
SUNY Fredonia
Fredonia, NY 14063

Jocelyn Quaintance
Department of Computer Science
University of Pennsylvania
Philadelphia, PA 19104


We study two sums involving the Stirling numbers and binomial coefficients. We find their closed forms, and discuss the connection between these sums.

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(Concerned with sequences A000457 A000497 A000504 A000906 A000907 A001784 A001785 A051577.)

Received June 25 2015; revised versions received August 14 2015; August 19 2015. Published in Journal of Integer Sequences, August 20 2015.

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