%I #4 Jun 12 2012 07:28:56
%S 28722,94238,319078,1091036,3737885,12773955,43399990,146145812,
%T 486196569,1623648129,5447568893,18331034879,61772986963,208242996467,
%U 701740238736,2362743601059,7947716942734,26723699565529,89867277897553
%N Number of 0..3 arrays of length n+7 with sum less than 12 in any length 6 subsequence (=less than 50% duty cycle)
%C Column 4 of A213464
%H R. H. Hardin, <a href="/A213460/b213460.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=3
%e ..0....0....0....0....0....0....0....2....2....2....0....0....0....2....2....0
%e ..2....0....0....2....2....0....0....0....2....0....0....3....0....0....2....0
%e ..3....2....1....2....0....0....0....0....1....1....1....0....1....0....0....1
%e ..2....0....1....3....0....2....0....1....0....0....1....0....0....0....2....0
%e ..1....0....1....1....0....1....1....1....1....0....2....0....3....0....0....0
%e ..1....0....1....0....2....3....1....3....0....2....1....0....3....0....1....2
%e ..1....1....3....0....3....1....3....1....2....2....3....1....0....0....3....1
%e ..1....1....3....3....0....1....0....0....3....3....1....3....0....3....1....2
%e ..0....2....0....0....0....0....0....3....1....3....0....0....1....0....0....2
%e ..0....1....1....0....0....1....1....2....3....0....2....1....1....1....0....1
%K nonn
%O 1,1
%A _R. H. Hardin_ Jun 12 2012