31 citations · 158 across the 54 of their papers we have counts for
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math.CO2009
A Survey of Alternating Permutations
Richard P. Stanley
This survey of alternating permutations and Euler numbers includes refinements of Euler numbers, other occurrences of Euler numbers, longest alternating subsequences, umbral enumer…
math.CO2009★ 1 cited
Two Enumerative Results on Cycles of Permutations
Richard P. Stanley
Answering a question of Bona, it is shown that for n>1 the probability that 1 and 2 are in the same cycle of a product of two n-cycles on the set {1,2,...,n} is 1/2 if n is odd and…