A130224 a(1) = 1; a(n) = a(n-1) + (number of times the digit 1 has appeared in the sequence so far).

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 19, 24, 29, 34, 39, 44, 49, 54, 59, 64, 69, 74, 79, 84, 89, 94, 99, 104, 110, 118, 128, 139, 151, 165, 180, 196, 213, 231, 250, 269, 288, 307, 326, 345, 364, 383, 402, 421, 441, 462