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The 2-adic Valuation of Stirling Numbers

✍ Scribed by Amdeberhan, Tewodros; Manna, Dante; Moll, Victor H.

Book ID
127033172
Publisher
Taylor and Francis Group
Year
2008
Tongue
English
Weight
713 KB
Volume
17
Category
Article
ISSN
1058-6458

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In this paper, we find simple 2-adic congruences mod 2 [nΓ‚2]+1 for the No rlund numbers B (n) n and for the Bernoulli numbers of the second kind b n . These congruences improve F. T. Howard's mod 8 congruences (in ``Applications of Fibonacci Numbers, '' Vol. 5, pp. 355 366, Kluwer Academic, Dordrech