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%I #4 May 06 2012 19:29:38
%S 3834,10002,26637,71427,191853,514687,1376128,3659968,9662878,
%T 25562476,67800449,180120882,478897973,1273545563,3386125989,
%U 8999257525,23906208533,63493578634,168644397152,447996097328,1190222549456
%N Number of 0..2 arrays of length n+7 with sum no more than 8 in any length 8 subsequence (=50% duty cycle)
%C Column 4 of A212232
%H R. H. Hardin, <a href="/A212228/b212228.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=3
%e ..0....0....0....0....1....2....2....0....0....2....2....1....1....0....1....0
%e ..1....2....0....1....0....1....0....1....1....2....0....2....2....2....1....0
%e ..1....0....0....1....0....1....1....2....0....1....1....0....0....0....1....0
%e ..1....0....2....0....1....0....0....0....1....0....1....1....0....0....2....1
%e ..2....0....2....0....0....0....1....0....1....0....2....0....1....1....0....0
%e ..1....1....0....0....1....1....2....2....2....1....0....2....2....0....1....1
%e ..2....2....0....1....1....2....0....2....0....1....0....2....1....0....1....0
%e ..0....1....2....1....0....0....2....0....1....1....0....0....1....1....0....0
%e ..0....1....2....1....0....2....1....1....1....2....1....1....1....1....1....2
%e ..0....2....0....2....2....0....0....0....2....2....1....2....0....1....0....2
%K nonn
%O 1,1
%A _R. H. Hardin_ May 06 2012