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Congruence Classes of 2-adic Valuations of Stirling Numbers of the Second Kind
Journal of Integer Sequences
  • Curtis Bennett, Loyola Marymount University
  • Edward Mosteig, Loyola Marymount University
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Publication Date
We analyze congruence classes of S(n,k), the Stirling numbers of the second kind, modulo powers of 2. This analysis provides insight into a conjecture posed by Amdeberhan, Manna and Moll, which those authors established for k at most 5. We provide a framework that can be used to justify the conjecture by computational means, which we then complete for values of k between 5 and 20.
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© The Authors 2013.

Citation Information
B. Bennett & E. Mosteig, Congruence classes of 2-adic valuations of Stirling numbers of the second kind, Journal of Integer Sequences, 16, no. 3, (2013), Article 13.3.6.