From a Fibonacci-like differential equation.

Terms

a(0) =1a(1) =1a(2) =3a(3) =8a(4) =50a(5) =214a(6) =2086a(7) =11976a(8) =162816a(9) =1143576a(10) =20472504a(11) =165910128a(12) =3785092032a(13) =33908109936a(14) =967508478192