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A289453
Related to number of mesh patterns of length 2 that avoid the pattern 321.
0
1, 1, 1, 2, 5, 13, 36, 103, 303, 910, 2779
OFFSET
1,4
LINKS
Murray Tannock, Equivalence classes of mesh patterns with a dominating pattern, MSc Thesis, Reykjavik Univ., May 2016. See Appendix B2.
FORMULA
Conjectured g.f.: (2-sqrt(2))*x/2+x/sqrt(2)*C(sqrt(2)*x/(x^2+(2*sqrt(2)-1)*x+1)), where C(x) is the g.f. for the Catalan numbers, A000108. - Michael D. Weiner, Jul 20 2022
CROSSREFS
Cf. A000108.
Sequence in context: A370168 A099164 A358460 * A339290 A036765 A246555
KEYWORD
nonn,more
AUTHOR
N. J. A. Sloane, Jul 08 2017
STATUS
approved