T(2n,n) with T as in A036355.

Terms

a(0) =1a(1) =2a(2) =14a(3) =84a(4) =556a(5) =3736a(6) =25612a(7) =177688a(8) =1244398a(9) =8777612a(10) =62271384a(11) =443847648a(12) =3175924636a(13) =22799963576a(14) =164142004184