a(n) = (a(n-1) + a(n-3))/gcd(a(n-1), a(n-3)) with a(0) =2, a(1) = 3, a(2) = 5.

Terms

a(0) =2a(1) =3a(2) =5a(3) =7a(4) =10a(5) =3a(6) =10a(7) =2a(8) =5a(9) =3a(10) =5a(11) =2a(12) =5a(13) =2a(14) =2a(15) =7a(16) =9a(17) =11a(18) =18a(19) =3a(20) =14a(21) =16a(22) =19a(23) =33a(24) =49a(25) =68a(26) =101a(27) =150a(28) =109a(29) =210