a Faculteit Wetenschappen, K.U. Leuven Campus Kortrijk, E. Sabbelaan 53, B-8500 Kortrijk, Belgium b School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland
Abstract:
Let n and k be natural numbers and let S(n,k) denote the Stirling numbers of the second kind. It is a conjecture of Wilf that the alternating sum