11, 12, 20, 23, 33, 46, ?, ?

Haven't read the other posts, so this may be redundant.

The numbers are Fibonacci numbers starting with 3 in base 2, then 5 in base 3, 8 in base 4, 13 in base 5, 21 in base 6, and 34 in base 7.  The next 2 numbers are:

45   (55 in base 8)
81   (89 in base 9)