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It ain't Fibonacci (Posted on 2005-02-22) Difficulty: 3 of 5
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?

See The Solution Submitted by Erik O.    
Rating: 4.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Just to wrap it up... | Comment 6 of 10 |
(In reply to re: Solution (if errors in sequence) by Erik O.)

Just to follow up what Jer had started...


"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 [this is where the mistake lies...they alternate in blocks of 3, not 2] and the one before in blocks of 5..."

So yes, as Jer pointed out, the columns alternate in blocks of 2, then 3, then 5, 7, 11, etc., which are the prime numbers. The next term in the sequence--the 13th term--would be 111000, or 56.

0  0  1  3  2  6  5  13  12  14  11  27  24  56  49  55...

Oh yeah, Erik, baseball?? I don't get it... (of course, you did say the hint was vague...)


  Posted by yocko on 2005-02-28 20:10:24
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