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A223034 Number of 3-vexillary permutations in S_n, that is, permutations whose Stanley symmetric function has at most 3 terms or at most 3 Edelman-Greene tableaux. 1
1, 1, 2, 6, 24, 120, 705, 4553, 30930, 216412, 1545469 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

This family is characterized by a finite set of permutation patterns.

LINKS

Table of n, a(n) for n=0..10.

S. Billey and B. Pawlowski, Permutation Patterns, Stanley symmetric functions and generalized Specht modules, arXiv:1304.7870 [math.CO], 2013.

Elizabeth Hartung, Hung Phuc Hoang, Torsten M├╝tze, Aaron Williams, Combinatorial generation via permutation languages. I. Fundamentals, arXiv:1906.06069 [cs.DM], 2019.

CROSSREFS

Cf. A005802, A223905, A224318, A224287.

Sequence in context: A177525 A177532 A242573 * A177530 A324134 A324135

Adjacent sequences:  A223031 A223032 A223033 * A223035 A223036 A223037

KEYWORD

nonn,more

AUTHOR

Sara Billey, Apr 04 2013

EXTENSIONS

a(0)=1 prepended by Alois P. Heinz, Jul 31 2019

STATUS

approved

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Last modified July 6 02:41 EDT 2020. Contains 335475 sequences. (Running on oeis4.)