A208032 - OEIS

%I #7 Dec 22 2021 18:10:18

%S 28,784,5404,61292,574560,5788524,56728924,561913408,5542832148,

%T 54764938004,540744613920,5340655599188,52741354585556,

%U 520866777405464,5143921470354156,50800175218659076,501689190833405736

%N Number of 7 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 1 0 1 vertically.

%C Row 7 of A208028.

%H R. H. Hardin, <a href="/A208032/b208032.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) +62*a(n-2) -73*a(n-3) -736*a(n-4) +779*a(n-5) +3097*a(n-6) -3814*a(n-7) -4207*a(n-8) +5531*a(n-9) +2469*a(n-10) -2932*a(n-11) -644*a(n-12) +428*a(n-13).

%e Some solutions for n=4

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

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

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

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

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

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

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

%Y Cf. A208028.

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 22 2012