OK...I've got it...I think...
00, 01, 02, ..., 09, 0A, 0B, 0C, 0D, 0E, 0F,
10, 11, 12, ..., 19, 1A, 1B, 1C, 1D, 1E, 1F,
...
90, 91, 92, ..., 99, 9A, 9B, 9C, 9D, 9E, 9F,
A0, A1, A2, ..., A9, AA, AB, AC, AD, AE, AF,
...
F0, F1, F2, ..., F9, FA, FB, FC, FD, FE, FF.
("FD" == 15*[16 -- remember, it's base 16] + 13 = 240 + 13 = 253, or two less than the largest number 255.