A048310 Numbers whose base-13 expansions, read from left to right, have run lengths that strictly increase.
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 169, 183, 197, 211, 225, 239, 253, 267, 281, 295, 309, 323, 337, 338, 352, 366, 380, 394, 408, 422, 436, 450, 464, 478, 492, 506, 507, 521, 535, 549, 563, 577, 591, 605
Offset: 0