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On certain sums of Stirling numbers with binomial coefficients. (English) Zbl 1394.11017
Summary: We study two sums involving the Stirling numbers and binomial coefficients. We find their closed forms, and discuss the connection between these sums.

MSC:
11B73 Bell and Stirling numbers
11B65 Binomial coefficients; factorials; \(q\)-identities
05A10 Factorials, binomial coefficients, combinatorial functions
Software:
OEIS
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