Start with 4; if k appears then so do 2k+2 and 3k+3. (duplicates omitted.)

Terms

a(0) =4a(1) =10a(2) =15a(3) =22a(4) =32a(5) =33a(6) =46a(7) =48a(8) =66a(9) =68a(10) =69a(11) =94a(12) =98a(13) =99a(14) =102a(15) =134a(16) =138a(17) =140a(18) =141a(19) =147a(20) =190a(21) =198a(22) =200a(23) =201a(24) =206a(25) =207a(26) =210a(27) =270a(28) =278a(29) =282