Find the next number in the following series:
11, 12, 20, 23, 33, 46, ?, ?
Oops, sorry, messed up my bases there.
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:
67 (55 in base 8)
98 (89 in base 9)
As far as the philosophy of what makes the best answer (now I have read the other posts), I think there should be something akin to esthetic points for "cleverness" or "uniqueness of ideas". So for this series combining Fib with a changing base seems to me to be "better" than, say, a "kicked up a notch" geometric series. But then that's just me. Then again, sometimes I mess up translating bases.

Posted by Larry
on 20040303 23:35:44 