Find the pattern and state the next few numbers.
0 0 1 3 2 6 5 13 12 14 11 27 24 ...
Does this sequence ever revert back to a single digit number? If so, when?
As per the hint, convert to binary. I added leading zeroes to keep the digits lined up.
00000
00000
00001
00011
00010
00110
00101
01101
01100
01110
01011
11011
11000
Notice the last column alternates 0's and 1's in blocks of 2.
The column before in blocks of 2 and the one before in blocks of 5. These look Fibonacci, but the next columns appear to go by 7 and then 11. (And why not start with blocks of 1?)
Either there's an error or I'm back to stumped.
-Jer
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Posted by Jer
on 2005-02-28 17:42:44 |
Solution (if errors in sequence)
