A Catalan transform of F(n-1)-0^n.

Terms

a(0) =0a(1) =0a(2) =1a(3) =3a(4) =10a(5) =34a(6) =118a(7) =416a(8) =1485a(9) =5355a(10) =19473a(11) =71313a(12) =262735a(13) =973027a(14) =3619955a(15) =13521307a(16) =50684778a(17) =190597594a(18) =718788034a(19) =2717755820a(20) =10300186824a(21) =39121645886a(22) =148884623768a(23) =567643844338