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%I #4 May 17 2012 14:28:46
%S 2338,7862,27024,93308,321320,1098260,3708268,12564894,42730092,
%T 145559900,495992448,1689131389,5747566618,19552052026,66524165343,
%U 226393294930,770536024747,2622515229619,8925194014628,30373724176979
%N Number of 0..3 arrays of length n+5 with sum no more than 9 in any length 6 subsequence (=50% duty cycle)
%C Column 3 of A212471
%H R. H. Hardin, <a href="/A212466/b212466.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=3
%e ..1....1....1....3....2....0....0....0....3....2....1....3....3....1....2....2
%e ..2....2....2....0....0....0....3....0....0....2....1....0....3....1....1....1
%e ..0....0....0....0....2....2....3....3....1....1....2....0....3....2....3....3
%e ..2....2....1....0....1....1....1....1....0....0....3....3....0....0....3....1
%e ..2....2....3....1....2....2....0....0....1....0....2....1....0....0....0....1
%e ..0....2....1....0....0....0....0....1....0....3....0....0....0....3....0....0
%e ..0....0....1....2....1....2....2....0....3....2....0....2....0....0....0....0
%e ..0....0....3....3....1....0....2....2....1....1....0....0....0....0....3....1
%K nonn
%O 1,1
%A _R. H. Hardin_ May 17 2012