A094589 a(1) = 1; a(n+1) = a(n) + (largest element of {a} <= n).

1, 2, 4, 6, 10, 14, 20, 26, 32, 38, 48, 58, 68, 78, 92, 106, 120, 134, 148, 162, 182, 202, 222, 242, 262, 282, 308, 334, 360, 386, 412, 438, 470, 502, 534, 566, 598, 630, 668, 706, 744, 782, 820, 858, 896, 934, 972, 1010, 1058, 1106, 1154, 1202, 1250, 1298