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A246604 (Catalan(n)-n) with initial terms 1,0,0,2 changed to 1,1,1,3.
7

%I #14 Dec 08 2023 16:03:34

%S 1,1,1,3,10,37,126,422,1422,4853,16786,58775,208000,742887,2674426,

%T 9694830,35357654,129644773,477638682,1767263171,6564120400,

%U 24466266999,91482563618,343059613627,1289904147300,4861946401427,18367353072126,69533550915977,263747951750332,1002242216651339

%N A246604 (Catalan(n)-n) with initial terms 1,0,0,2 changed to 1,1,1,3.

%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[{1,1,1,3},Array[CatalanNumber[#]-#&,30,4]] (* _Paolo Xausa_, Dec 08 2023 *)

%Y A variant of A246604.

%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