a(0)=a(1)=a(2) = 1. a(n) = (a(n-1) +a(n-2)) /GCD(a(n-1)+a(n-2),a(n-3)), for n >= 3.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =3a(5) =5a(6) =4a(7) =3a(8) =7a(9) =5a(10) =4a(11) =9a(12) =13a(13) =11a(14) =8a(15) =19a(16) =27a(17) =23a(18) =50a(19) =73a(20) =123a(21) =98a(22) =221a(23) =319a(24) =270a(25) =589a(26) =859a(27) =724a(28) =1583a(29) =2307