a(1) = a(2) = 1; a(n) = gcd(a(n-1), a(n-2)) + (a(n-1) + a(n-2))/gcd(a(n-1), a(n-2)).

Terms

a(0) =1a(1) =1a(2) =3a(3) =5a(4) =9a(5) =15a(6) =11a(7) =27a(8) =39a(9) =25a(10) =65a(11) =23a(12) =89a(13) =113a(14) =203a(15) =317a(16) =521a(17) =839a(18) =1361a(19) =2201a(20) =3563a(21) =5765a(22) =9329a(23) =15095a(24) =24425a(25) =7909a(26) =32335a(27) =40245a(28) =14521a(29) =54767