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a(n)=C(n)-1+0^n where C(n)=A000108(n).
2

%I #6 Jul 10 2017 00:05:56

%S 1,0,1,4,13,41,131,428,1429,4861,16795,58785,208011,742899,2674439,

%T 9694844,35357669,129644789,477638699,1767263189,6564120419,

%U 24466267019,91482563639,343059613649,1289904147323,4861946401451,18367353072151

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

%C Hankel transform is A141365.

%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.

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

%Y Cf. A001453 (essentially the same sequence), A141351.

%K easy,nonn

%O 0,4

%A _Paul Barry_, Jun 27 2008