A095258 a(n+1) = smallest divisor of (2 + sum of first n terms) but not occurring earlier; a(1) = 1.

1, 3, 2, 4, 6, 9, 27, 18, 8, 5, 17, 34, 68, 12, 24, 10, 25, 11, 13, 23, 7, 47, 94, 235, 15, 16, 32, 48, 51, 289, 578, 102, 36, 26, 73, 219, 30, 20, 14, 46, 50, 470, 60, 40, 146, 21, 49, 28, 113, 29, 19, 35, 42, 54, 64, 22, 77, 329, 84, 56, 292, 365, 65, 37, 131, 38, 33