a(n) = least positive integer > a(n-1) and not a(i)*a(j)+a(k) for 1<=i<=j<=k<=n.

Terms

a(0) =1a(1) =3a(2) =4a(3) =8a(4) =10a(5) =15a(6) =21a(7) =28a(8) =35a(9) =41a(10) =46a(11) =48a(12) =77a(13) =97a(14) =102a(15) =116a(16) =133a(17) =139a(18) =152a(19) =159a(20) =170a(21) =172a(22) =190a(23) =195a(24) =201a(25) =208a(26) =226a(27) =263a(28) =276a(29) =319