%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