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A213117 Number of binary arrays of length n+13 with fewer than 7 ones in any length 14 subsequence (=less than 50% duty cycle).

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%I A213117 #6 Jun 02 2025 08:00:46
%S A213117 6476,11236,19964,35836,64664,116992,211888,383728,694264,1253960,
%T A213117 2259448,4058744,7263712,12941840,22939024,40724900,72502576,
%U A213117 129361304,231174484,413570984,740406336,1326075896,2375408640,4254942768
%N A213117 Number of binary arrays of length n+13 with fewer than 7 ones in any length 14 subsequence (=less than 50% duty cycle).
%C A213117 Column 7 of A213118
%H A213117 R. H. Hardin, <a href="/A213117/b213117.txt">Table of n, a(n) for n = 1..210</a>
%e A213117 Some solutions for n=3
%e A213117 ..1....1....1....0....0....1....1....1....1....1....1....1....1....0....1....0
%e A213117 ..1....0....0....1....1....0....0....1....1....1....0....0....1....0....0....1
%e A213117 ..0....0....1....1....0....1....1....0....0....0....0....0....0....1....0....0
%e A213117 ..0....0....0....1....0....0....1....0....0....0....1....0....0....0....1....0
%e A213117 ..1....1....0....0....0....0....0....1....1....0....1....0....1....0....1....1
%e A213117 ..0....0....0....1....1....1....0....0....1....0....0....1....1....1....0....0
%e A213117 ..1....1....1....0....0....0....0....0....0....0....0....1....1....0....0....0
%e A213117 ..0....1....1....0....1....1....1....0....0....1....0....1....1....0....1....1
%e A213117 ..0....1....1....0....0....0....1....0....0....1....0....0....0....0....1....1
%e A213117 ..1....1....1....0....1....0....0....0....1....0....1....0....0....1....1....0
%e A213117 ..0....0....0....1....0....1....0....1....0....0....1....0....0....0....0....1
%e A213117 ..0....0....0....0....1....0....1....1....0....1....0....0....0....0....0....0
%e A213117 ..1....0....0....0....0....1....0....0....0....0....0....1....0....1....0....0
%e A213117 ..0....0....0....1....1....0....0....0....0....0....1....0....0....1....0....0
%e A213117 ..1....1....1....0....0....0....1....0....0....0....0....0....0....0....0....0
%e A213117 ..0....0....0....0....0....1....0....1....1....0....0....0....1....1....0....1
%K A213117 nonn
%O A213117 1,1
%A A213117 _R. H. Hardin_ Jun 05 2012

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