The 2-adic Valuation of Stirling Numbers

نویسندگان

  • Tewodros Amdeberhan
  • Dante Manna
  • Victor H. Moll
چکیده

We analyze properties of the 2-adic valuations of S(n, k), the Stirling numbers of the second kind. A conjecture that describes patterns of these valuations for fixed k and n modulo powers of 2 is presented. The conjecture is established for k = 5.

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عنوان ژورنال:
  • Experimental Mathematics

دوره 17  شماره 

صفحات  -

تاریخ انتشار 2008