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Experimental Mathematics Volume 17, 2008 - Issue 1
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Original Article

The 2-adic Valuation of Stirling Numbers

Tewodros Amdeberhan Department of Mathematics, Tulane University, New Orleans, LA 70118
,
Dante Manna Department of Mathematics and Statistics, Dalhousie University, Nova Scotia, Canada B3H 3J5
&
Victor H. Moll Department of Mathematics, Tulane University, New Orleans, LA 70118
Pages 69-82 | Published online: 30 Jan 2011
 
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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.

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