English

Wilf conjecture

Combinatorics 2008-07-15 v1 Number Theory

Abstract

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.

Cite

@article{arxiv.0807.2150,
  title  = {Wilf conjecture},
  author = {Junkyu An},
  journal= {arXiv preprint arXiv:0807.2150},
  year   = {2008}
}

Comments

7 pages, draft version

R2 v1 2026-06-21T11:00:14.669Z