Numbers missing from A001033 despite satisfying the necessary congruence conditions (see comments).

Terms

a(0) =4a(1) =564a(2) =1284a(3) =2308a(4) =3601a(5) =7044a(6) =7057a(7) =7513a(8) =8628a(9) =9168a(10) =9412a(11) =10561a(12) =10852a(13) =11257a(14) =12436a(15) =13897a(16) =14113a(17) =14388a(18) =14425a(19) =16144a(20) =16692a(21) =16753a(22) =17124a(23) =17257a(24) =17737a(25) =18064a(26) =18433a(27) =18708a(28) =19408a(29) =19428