A048309 Reading base 12 expansion from left to right, run lengths strictly increase.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 144, 157, 170, 183, 196, 209, 222, 235, 248, 261, 274, 287, 288, 301, 314, 327, 340, 353, 366, 379, 392, 405, 418, 431, 432, 445, 458, 471, 484, 497, 510, 523, 536, 549, 562