G.f. satisfies A(x) = 1 + x*A(x)^3/(1 - x^4*A(x)^10).

Terms

a(0) =1a(1) =1a(2) =3a(3) =12a(4) =55a(5) =274a(6) =1444a(7) =7923a(8) =44803a(9) =259326a(10) =1529034a(11) =9151733a(12) =55459124a(13) =339595673a(14) =2097962269a(15) =13060078469a(16) =81842038111a(17) =515867610612