a(n) = 2*F(n-1) + 9*F(n-4) + 9*F(n-7) where n >= 7 and F = A000045.

Terms

a(0) =34a(1) =62a(2) =96a(3) =158a(4) =254a(5) =412a(6) =666a(7) =1078a(8) =1744a(9) =2822a(10) =4566a(11) =7388a(12) =11954a(13) =19342a(14) =31296a(15) =50638a(16) =81934a(17) =132572a(18) =214506a(19) =347078a(20) =561584a(21) =908662a(22) =1470246a(23) =2378908a(24) =3849154a(25) =6228062a(26) =10077216a(27) =16305278a(28) =26382494a(29) =42687772