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%I #13 Dec 08 2023 16:26:27
%S 1,1,1,3,12,40,130,427,1428,4860,16794,58784,208010,742898,2674438,
%T 9694843,35357668,129644788,477638698,1767263188,6564120418,
%U 24466267018,91482563638,343059613648,1289904147322,4861946401450,18367353072150,69533550916002,263747951750358
%N Catalan numbers - 2 (A120304) with first three terms changed to 1,1,1.
%C 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.
%t Join[{1,1,1},CatalanNumber[Range[3,30]]-2] (* _Paolo Xausa_, Dec 08 2023 *)
%Y A variant of A120304.
%Y All of A000108, A001453, A246604, A273526, A120304, A289615, A289616, A289652, A289653, A289654 are very similar sequences.
%K nonn
%O 1,4
%A _N. J. A. Sloane_, Jul 09 2017
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