a(1)=2, a(2)=2, a(n)=a(n-2)+floor(a(n-2)*a(n-1)/(a(n-2)+a(n-1))).

Terms

a(0) =2a(1) =2a(2) =3a(3) =3a(4) =4a(5) =4a(6) =6a(7) =6a(8) =9a(9) =9a(10) =13a(11) =14a(12) =19a(13) =22a(14) =29a(15) =34a(16) =44a(17) =53a(18) =68a(19) =82a(20) =105a(21) =128a(22) =162a(23) =199a(24) =251a(25) =309a(26) =389a(27) =481a(28) =604a(29) =748