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Some identities and congruences involving a certain family of numbers. (English) Zbl 1192.05014
In this paper, the authors establish several identities and congruences involving a certain family of numbers associated with the familiar Bernoulli and Euler numbers, the Stirling numbers of the first and second kind, and the central factorial numbers.

11B68 Bernoulli and Euler numbers and polynomials
11B65 Binomial coefficients; factorials; \(q\)-identities
11B73 Bell and Stirling numbers
05A19 Combinatorial identities, bijective combinatorics
05A15 Exact enumeration problems, generating functions
11A07 Congruences; primitive roots; residue systems
Full Text: DOI
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