Published October 4, 2005
| Version v1
Journal article
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On 2-Adic Orders of Stirling Numbers of the Second Kind
Authors/Creators
- 1. Department of Mathematics, University College Dublin, Belfield, Dublin 4, Ireland
Description
We prove that for any k = 1,... , 2n the 2-adic order of the Stirling number S(2n, k) of the second kind is exactly d(k) − 1, where d(k) denotes the number of 1’s among the binary digits of k. This confirms a conjecture of Lengyel.
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