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A289588 Related to number of mesh patterns of length 2 that avoid the pattern 321. 0
1, 1, 1, 2, 4, 11, 34, 110, 365, 1234, 4237 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Table of n, a(n) for n=1..11.

Murray Tannock, Equivalence classes of mesh patterns with a dominating pattern, MSc Thesis, Reykjavik Univ., May 2016. See Appendix B2.

FORMULA

G.f.: (x^4+x^3-x^2)*C(x)/(x-1) - (x^4-x^2+x)/(x-1) where C(x) is the g.f. for the Catalan numbers (A000108) (conjectured). - Michael D. Weiner, Aug 08 2019

CROSSREFS

Sequence in context: A287007 A099215 A089407 * A344489 A238425 A071115

Adjacent sequences:  A289585 A289586 A289587 * A289589 A289590 A289591

KEYWORD

nonn,more

AUTHOR

N. J. A. Sloane, Jul 08 2017

STATUS

approved

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Last modified May 17 14:19 EDT 2022. Contains 353746 sequences. (Running on oeis4.)