A054063 Least k for which the integers Floor(k/(log(m+1))) for m=1,2,...,n are distinct.

1, 1, 4, 6, 7, 13, 18, 24, 32, 38, 42, 51, 58, 70, 80, 90, 98, 103, 122, 136, 136, 159, 162, 177, 192, 201, 223, 239, 248, 264, 277, 297, 310, 327, 344, 361, 371, 392, 413, 427, 441, 466, 484, 502, 513, 535, 561, 572, 602, 617