24 citations · 32 across the 6 of their papers we have counts for
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math.CO2013
On the Asymptotic Statistics of the Number of Occurrences of Multiple Permutation Patterns
Svante Janson, Brian Nakamura, Doron Zeilberger
We study statistical properties of the random variables , the number of occurrences of the pattern in the permutation . We present two contrasting approaches to this…
math.CO2013
Using functional equations to enumerate 1324-avoiding permutations
Fredrik Johansson, Brian Nakamura
We consider the problem of enumerating permutations with exactly r occurrences of the pattern 1324 and derive functional equations for this general case as well as for the pattern…
math.CO2013★ 7 cited
Approaches for enumerating permutations with a prescribed number of occurrences of patterns
Brian Nakamura
In recent work, Zeilberger and the author used a functional equations approach for enumerating permutations with r occurrences of the pattern 12...k. In particular, the approach yi…