A213117 - OEIS

%I #4 Jun 05 2012 22:26:13

%S 6476,11236,19964,35836,64664,116992,211888,383728,694264,1253960,

%T 2259448,4058744,7263712,12941840,22939024,40724900,72502576,

%U 129361304,231174484,413570984,740406336,1326075896,2375408640,4254942768

%N Number of binary arrays of length n+13 with fewer than 7 ones in any length 14 subsequence (=less than 50% duty cycle)

%C Column 7 of A213118

%H R. H. Hardin, <a href="/A213117/b213117.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jun 05 2012