A212399 - OEIS

%I #4 May 14 2012 22:03:38

%S 638,1150,2104,3872,7143,13185,24322,44794,82294,150686,274744,501524,

%T 917116,1679070,3076254,5638155,10334814,18942534,34712677,63595283,

%U 116481088,213319856,390670798,715523414,1310607210,2400758159

%N Number of binary arrays of length n+9 with no more than 5 ones in any length 10 subsequence (=50% duty cycle)

%C Column 5 of A212402

%H R. H. Hardin, <a href="/A212399/b212399.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ May 14 2012