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A223905 Number of 4-vexillary permutations in S_n, that is, permutations whose Stanley symmetric function has at most 4 terms or at most 4 Edelman-Greene tableaux. 4
1, 1, 2, 6, 24, 120, 717, 4824, 34629, 256689, 1935301 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

This family is characterized by a finite set of 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 Mütze, Aaron Williams, Combinatorial generation via permutation languages. I. Fundamentals, arXiv:1906.06069 [cs.DM], 2019.

CROSSREFS

Cf. A005802, A224318.

Sequence in context: A121987 A324132 A177524 * A164872 A226437 A224287

Adjacent sequences: A223902 A223903 A223904 * A223906 A223907 A223908

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 March 23 03:46 EDT 2023. Contains 361434 sequences. (Running on oeis4.)