a(2*n) = A030186(n), a(2*n+1) = A033505(n).

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =7a(5) =10a(6) =22a(7) =32a(8) =71a(9) =103a(10) =228a(11) =331a(12) =733a(13) =1064a(14) =2356a(15) =3420a(16) =7573a(17) =10993a(18) =24342a(19) =35335a(20) =78243a(21) =113578a(22) =251498a(23) =365076a(24) =808395a(25) =1173471a(26) =2598440a(27) =3771911a(28) =8352217a(29) =12124128