Wilf conjecture

Details Wilf conjecture Wilf conjecture

2008-07-14

arxiv.org/abs/0807.2150v1

Mathematics

Combinatorics

7 pages, draft version

Scientific paper

Let S(n,k) be the Stirling number of the second kind. Wilf conjectured that
the alternating sum of S(n,k) for k from 0 to n is not zero for all n>2. In
this paper, we prove that Wilf conjecture is true except at most one number
with the properties of weighted Motzkin number.

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