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A212401 Number of binary arrays of length n+13 with no more than 7 ones in any length 14 subsequence (=50% duty cycle).

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%I A212401 #6 Jun 02 2025 07:56:59
%S A212401 9908,18100,33560,62632,117290,220054,413220,776116,1457281,2734307,
%T A212401 5124772,9591128,17917498,33399134,62096428,115525340,215173819,
%U A212401 401141813,748337734,1396704062,2607652294,4869423980,9093738783
%N A212401 Number of binary arrays of length n+13 with no more than 7 ones in any length 14 subsequence (=50% duty cycle).
%C A212401 Column 7 of A212402
%H A212401 R. H. Hardin, <a href="/A212401/b212401.txt">Table of n, a(n) for n = 1..210</a>
%e A212401 Some solutions for n=3
%e A212401 ..0....0....0....1....1....1....1....0....1....0....0....0....0....0....1....0
%e A212401 ..0....0....1....0....0....0....1....0....0....0....0....1....0....0....1....1
%e A212401 ..0....1....1....0....1....1....1....0....1....1....1....0....0....0....1....1
%e A212401 ..0....1....1....0....0....1....1....1....0....1....1....1....1....1....0....0
%e A212401 ..0....0....0....0....1....1....0....0....0....0....1....1....1....0....0....0
%e A212401 ..0....0....1....0....1....1....1....1....1....1....0....0....0....1....0....1
%e A212401 ..0....0....0....1....0....0....0....0....0....0....1....0....0....0....0....0
%e A212401 ..0....0....0....0....1....0....1....1....0....0....0....0....1....1....0....0
%e A212401 ..0....0....0....0....0....0....1....1....0....0....0....1....0....0....0....0
%e A212401 ..1....0....0....0....0....0....0....1....1....0....0....0....0....0....1....1
%e A212401 ..0....0....0....1....1....1....0....0....1....1....0....1....0....0....1....0
%e A212401 ..1....0....0....0....0....0....0....0....1....1....0....1....1....0....0....1
%e A212401 ..1....1....1....1....0....0....0....1....0....0....0....0....0....1....0....1
%e A212401 ..1....0....1....0....0....0....0....0....1....1....0....0....0....0....1....0
%e A212401 ..0....0....0....0....1....0....0....0....0....0....0....0....1....1....1....1
%e A212401 ..1....1....0....1....0....1....0....0....0....1....0....0....0....0....0....0
%K A212401 nonn
%O A212401 1,1
%A A212401 _R. H. Hardin_ May 14 2012

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