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Number of 0..2 arrays of length n+13 with sum no more than 14 in any length 14 subsequence (=50% duty cycle)
1

%I #4 May 06 2012 19:32:40

%S 2699598,7269626,19976155,55360211,154089343,429886243,1200645159,

%T 3354267511,9367667604,26139182862,72841658426,202630826716,

%U 562443898300,1557047060794,4296908081691,11867091374754,32817710013245

%N Number of 0..2 arrays of length n+13 with sum no more than 14 in any length 14 subsequence (=50% duty cycle)

%C Column 7 of A212232

%H R. H. Hardin, <a href="/A212231/b212231.txt">Table of n, a(n) for n = 1..39</a>

%e Some solutions for n=3

%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0

%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0

%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0

%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0

%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0

%e ..0....0....0....1....0....1....0....0....1....0....0....1....1....1....1....1

%e ..1....2....0....1....0....1....1....1....0....0....0....1....2....1....2....0

%e ..2....1....1....1....2....0....0....0....2....1....2....2....0....2....0....1

%e ..2....2....1....1....0....2....0....0....2....2....0....2....1....2....2....0

%e ..0....2....2....2....0....2....1....2....0....1....2....0....2....0....1....2

%e ..2....0....0....1....2....2....0....1....0....0....0....0....2....1....1....1

%e ..1....0....1....0....0....2....2....1....0....1....0....2....0....0....0....0

%e ..0....1....2....1....1....1....0....2....1....0....1....1....2....0....1....1

%e ..0....1....1....2....1....0....0....2....1....1....1....0....1....1....1....2

%e ..2....0....2....2....0....2....0....0....2....2....2....2....1....0....1....2

%e ..2....0....0....1....0....0....2....0....1....1....2....0....2....0....2....1

%K nonn

%O 1,1

%A _R. H. Hardin_ May 06 2012