A289453 - OEIS

%I #14 Jul 21 2022 13:06:38

%S 1,1,1,2,5,13,36,103,303,910,2779

%N Related to number of mesh patterns of length 2 that avoid the pattern 321.

%H Murray Tannock, <a href="https://skemman.is/bitstream/1946/25589/1/msc-tannock-2016.pdf">Equivalence classes of mesh patterns with a dominating pattern</a>, MSc Thesis, Reykjavik Univ., May 2016. See Appendix B2.

%F 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

%Y Cf. A000108.

%K nonn,more

%O 1,4

%A _N. J. A. Sloane_, Jul 08 2017