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Number of 0..3 arrays of length n+5 with sum less than 9 in any length 6 subsequence (=less than 50% duty cycle)
1

%I #4 Jun 12 2012 07:27:33

%S 1758,5542,18018,58898,191573,615561,1940673,6155514,19647614,

%T 62899953,201473363,644672930,2059300887,6574540879,20997506212,

%U 67093545303,214438467736,685364105241,2190180322534,6998231709363,22360737339084

%N Number of 0..3 arrays of length n+5 with sum less than 9 in any length 6 subsequence (=less than 50% duty cycle)

%C Column 3 of A213464

%H R. H. Hardin, <a href="/A213459/b213459.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

%e ..1....0....2....0....0....0....0....3....1....3....2....2....1....2....2....1

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

%e ..1....1....0....3....1....0....0....1....3....0....2....0....1....0....3....2

%e ..2....1....0....1....0....0....2....1....3....2....1....1....1....2....0....0

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

%e ..0....0....2....1....2....1....1....1....0....0....2....1....2....2....0....3

%e ..1....2....3....0....0....1....1....0....0....0....2....1....0....0....1....2

%e ..1....0....1....3....1....0....3....3....0....3....1....1....3....3....0....0

%K nonn

%O 1,1

%A _R. H. Hardin_ Jun 12 2012