A141364 a(n) = C(n)-1+0^n where C(n) = A000108(n).

1, 0, 1, 4, 13, 41, 131, 428, 1429, 4861, 16795, 58785, 208011, 742899, 2674439, 9694844, 35357669, 129644789, 477638699, 1767263189, 6564120419, 24466267019, 91482563639, 343059613649, 1289904147323, 4861946401451, 18367353072151

Offset: 0

Author

Paul Barry, Jun 27 2008

Keywords

• easy
• nonn

Comments

Hankel transform is A141365.

Links

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

Crossrefs

Cf. A000108, A001453 (essentially the same sequence), A141351.

Programs

Mathematica

CoefficientList[Series[(1 - Sqrt[1 - 4*x]) / (2*x)-x/(1-x),{x,0,26}],x] (* James C. McMahon, Jul 23 2025 *)

Formula

G.f.: c(x)-x/(1-x) where c(x) is the g.f. of A000108