The variance of the Stirling cycle numbers
Herbert S. Wilf
math.COarXiv:math/0511428
Abstract
We show that the probability that two permutations of n letters have the same number of cycles is \[ 12πn.\]
Create a lesson
Related papers
Szemerédi's theorem with random differences and arithmetic Kakeya
Gabriel Dahia
A proof of the rational exponents conjecture
David Conlon, Oliver Janzer, Tao Jiang et al.
Proofs of four Takigiku--Tsuchioka conjectures on level 2 principal characters of A2-1(2)
Liuquan Wang
Two conjectures on the cospectrality of complete tripartite graphs are false
Irena M. Jovanović, Jelena Sedlar, Riste Škrekovski
Saturation and semisaturation of oriented graphs
Vladimir Bošković, Balázs Keszegh
Spectral radius and edge-disjoint spanning trees of graphs with edge connectivity
Jia Wei, Muhuo Liu, Zhifu You et al.