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Number of 0..2 arrays of length n+11 with sum less than 12 in any length 12 subsequence (=less than 50% duty cycle)
1

%I #4 May 25 2012 20:44:01

%S 228826,587036,1549297,4135249,11095332,29835132,80249504,215618862,

%T 578057915,1544727475,4110474108,10880175644,28614540955,75408015307,

%U 199314711575,528018279894,1400996454870,3720982545277,9888213327269

%N Number of 0..2 arrays of length n+11 with sum less than 12 in any length 12 subsequence (=less than 50% duty cycle)

%C Column 6 of A212729

%H R. H. Hardin, <a href="/A212727/b212727.txt">Table of n, a(n) for n = 1..130</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 ..1....0....0....0....0....1....1....1....2....0....1....0....1....1....0....0

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

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ May 25 2012