A035550 with periodic zeros stripped.

Terms

a(0) =0a(1) =1a(2) =1a(3) =5a(4) =6a(5) =17a(6) =22a(7) =50a(8) =66a(9) =130a(10) =174a(11) =314a(12) =421a(13) =711a(14) =953a(15) =1535a(16) =2051a(17) =3179a(18) =4232a(19) =6365a(20) =8434a(21) =12369a(22) =16313a(23) =23431a(24) =30750a(25) =43381a(26) =56658a(27) =78712a(28) =102309a(29) =140226