OFFSET
2,1
LINKS
Miklós Bóna, Non-overlapping permutation patterns, PU. M. A. 22(2):99-105, 2011.
Sergi Elizalde and Peter R. W. McNamara, The structure of the consecutive pattern poset, arXiv:1508.05963 [math.CO], 2015. See p. 21.
Sergey Kirgizov and Khaydar Nurligareev, Asymptotics of self-overlapping permutations, arXiv:2311.11677 [math.CO], 2023. See p. 2.
Ran Pan and Jeffrey B. Remmel, Minimal overlapping patterns for generalized Euler permutations, standard tableaux of rectangular shape, and column strict arrays, arXiv:1510.08190 [math.CO], 2015.
FORMULA
For n>=3, a(n) is divisible by 4 (shown in the Elizalde/McNamara link).
The limit of a(n)/n! is approximately 0.364 (shown by M. Bóna).
An implicit formula of a(n) is given in Section 3 of Pan and Remmel's paper.
EXAMPLE
There are 4 non-overlapping permutations of length 3, namely 132, 213, 231 and 312.
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Sergi Elizalde, Oct 28 2015
STATUS
approved