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Choose your neighbor (Posted on 2010-04-23) Difficulty: 4 of 5
How many 12-digit binary sequences exist with no two ones(11) neighboring each other?.
How many 12-digit binary sequences exist with no 3 ones(111) neighboring each other?.
Leading zeros allowed.

No Solution Yet Submitted by Ady TZIDON    
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Hints/Tips re: Structure /corrected (spoiler) Comment 3 of 3 |
(In reply to Structure by Jer)

The sequence (starting with n=0) goes 1,2,3,5,8,13,21,34,55,89,144,233,377

If we want to exclude 1111 the sequence is 1,2,4,8,15,29,56,108,208,401,773,1490,2872

Edited on April 24, 2010, 11:20 am
  Posted by Ady TZIDON on 2010-04-23 21:16:19

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