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math.CO2008
Counting Abelian Squares
L. B. Richmond, J. Shallit
An abelian square is a string of length 2n where the last n symbols form a permutation of the first n symbols. In this note we count the number of abelian squares and give an asymp…
math.CO2003
A Discontinuity in the Distribution of Fixed Point Sums
Edward A. Bender, E. Rodney Canfield, L. Bruce Richmond +1
The quantity , defined as the number of permutations of the set whose fixed points sum to , shows a sharp discontinuity in the neighborhood of .…