If k appears so do 2k+2 and 3k+3. (duplicates omitted.)

Terms

a(0) =3a(1) =8a(2) =12a(3) =18a(4) =26a(5) =27a(6) =38a(7) =39a(8) =54a(9) =56a(10) =57a(11) =78a(12) =80a(13) =81a(14) =84a(15) =110a(16) =114a(17) =116a(18) =117a(19) =120a(20) =158a(21) =162a(22) =164a(23) =165a(24) =170a(25) =171a(26) =174a(27) =222a(28) =230a(29) =234