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The 2-adic Valuation of Stirling Numbers
43
Citations
10
References
2008
Year
Computational Number Theory2-Adic ValuationAnalytic Number Theory2-Adic ValuationsAnalytic CombinatoricsDiscrete MathematicsSecond KindDyadic Format
Abstract We analyze properties of the 2-adic valuations of S(n, k), the Stirling numbers of the second kind. For fixed k ∈ ℕ, a conjectured pattern for the valuation is provided in terms of the dyadic format of n. This conjecture is established for k = 5. Keywords: Primary 11B50Secondary 05A15ValuationsStirling numbers
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