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Number of binary arrays of length n+11 with fewer than 6 ones in any length 12 subsequence (=less than 50% duty cycle)
1

%I #4 Jun 05 2012 22:25:09

%S 1586,2710,4748,8404,14946,26630,47448,84424,149836,264980,466456,

%T 816488,1419532,2473160,4324006,7580078,13311610,23403052,41170036,

%U 72441344,127454361,224172863,394092240,692400868,1215811672,2134163576

%N Number of binary arrays of length n+11 with fewer than 6 ones in any length 12 subsequence (=less than 50% duty cycle)

%C Column 6 of A213118

%H R. H. Hardin, <a href="/A213116/b213116.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

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

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

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jun 05 2012