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Number of 0..2 arrays of length n+5 with sum less than 6 in any length 6 subsequence (=less than 50% duty cycle)
1

%I #4 May 25 2012 20:41:06

%S 294,690,1669,4057,9807,23401,54747,128892,305564,726794,1729722,

%T 4112016,9756078,23131416,54866417,130216843,309147288,733945562,

%U 1742165784,4134755909,9812808996,23289274160,55276729120,131201600262,311410701789

%N Number of 0..2 arrays of length n+5 with sum less than 6 in any length 6 subsequence (=less than 50% duty cycle)

%C Column 3 of A212729

%H R. H. Hardin, <a href="/A212724/b212724.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ May 25 2012