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   Another sequence puzzle
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   Author  Topic: Another sequence puzzle  (Read 1008 times)
Obob
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Another sequence puzzle  
« on: Apr 19th, 2007, 7:51pm »
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There have been a lot of "continue the sequence" puzzles lately, so I thought I would add one to the mix.  A fair warning though:  this is hard.  And it definitely belongs in the Putnam section.
 
Here goes:
 
1, 1, 1, 1, 0, 2, 2, 24, 2, 2, 2, ...
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Aryabhatta
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Re: Another sequence puzzle  
« Reply #1 on: Apr 20th, 2007, 5:04pm »
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Are the numbers determinants of matrices?
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Obob
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Re: Another sequence puzzle  
« Reply #2 on: Apr 20th, 2007, 8:01pm »
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No.  Here's a hint:  this is one sequence in a sequence of sequences.  The next one is:
 
1, 1, 1, 1, 1, 0, 2, 2, 24, 1, 0, ...
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Obob
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Re: Another sequence puzzle  
« Reply #3 on: Apr 21st, 2007, 11:06pm »
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No bites, yet, so I'll give another row.  This one is the first:
 
0, 1, 1, 1, 1, 1, 1, 1, 1, ...
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