A289615 A246604 (Catalan(n)-n) with initial terms 1,0,0,2 changed to 1,1,1,3.

1, 1, 1, 3, 10, 37, 126, 422, 1422, 4853, 16786, 58775, 208000, 742887, 2674426, 9694830, 35357654, 129644773, 477638682, 1767263171, 6564120400, 24466266999, 91482563618, 343059613627, 1289904147300, 4861946401427, 18367353072126, 69533550915977, 263747951750332, 1002242216651339

Offset

1,4

Comments

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

Links

Table of n, a(n) for n=1..30.

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

Mathematica

Join[{1, 1, 1, 3}, Array[CatalanNumber[#]-#&, 30, 4]] (* Paolo Xausa, Dec 08 2023 *)

Crossrefs

A variant of A246604.

All of A000108, A001453, A246604, A273526, A120304, A289615, A289616, A289652, A289653, A289654 are very similar sequences.

Sequence in context: A104603 A337341 A080625 * A359721 A138807 A149043

Adjacent sequences: A289612 A289613 A289614 * A289616 A289617 A289618

Keyword

nonn

Author

N. J. A. Sloane, Jul 09 2017

Status

approved