Riordan array (1/((1-4*x)*c(x)),x*c(x)/sqrt(1-4*x)), c(x) the g.f. of A000108.

Terms

a(0) =1a(1) =3a(2) =1a(3) =11a(4) =6a(5) =1a(6) =42a(7) =30a(8) =9a(9) =1a(10) =163a(11) =140a(12) =58a(13) =12a(14) =1a(15) =638a(16) =630a(17) =325a(18) =95a(19) =15a(20) =1a(21) =2510a(22) =2772a(23) =1686a(24) =624a(25) =141a(26) =18a(27) =1a(28) =9908a(29) =12012