On the Problem of Uniqueness for the Maximum Stirling Number(s) of the Second Kind

E. Rodney Canfield, Carl Pomerance
2002 Zenodo  
Say that an integer n is exceptional if the maximum Stirling number of the second kind S(n, k) occurs for two (of necessity consecutive) values of k. We prove that the number of exceptional integers less than or equal to x is O(x3/5+e), for any e> 0.
doi:10.5281/zenodo.7569394 fatcat:w2iogkymn5h5tioypkacnhwaiy