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%I #9 Jun 15 2018 08:20:25
%S 105,128,339,800,1725,3440,6444,11448,19457,31832,50397,77528,116289,
%T 170552,245166,346112,480709,657808,888039,1184048,1560789,2035808,
%U 2629584,3365864,4272057,5379624,6724529,8347688,10295481,12620264
%N Number of (n+1) X 7 0..1 arrays with the number of rightwards and downwards edge increases in each 2 X 2 subblock equal to the number in all its horizontal and vertical neighbors.
%C Column 6 of A206267.
%H R. H. Hardin, <a href="/A206265/b206265.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 7*a(n-1) - 20*a(n-2) + 28*a(n-3) - 14*a(n-4) - 14*a(n-5) + 28*a(n-6) - 20*a(n-7) + 7*a(n-8) - a(n-9) for n>10.
%F Empirical g.f.: x*(105 - 607*x + 1543*x^2 - 1953*x^3 + 791*x^4 + 1135*x^5 - 1938*x^6 + 1302*x^7 - 436*x^8 + 60*x^9) / ((1 - x)^8*(1 + x)). - _Colin Barker_, Jun 15 2018
%e Some solutions for n=4:
%e ..0..1..0..1..0..1..0....1..0..0..1..1..0..0....0..1..0..1..0..1..0
%e ..1..0..1..0..1..0..1....1..1..0..0..1..1..0....1..0..1..0..1..0..1
%e ..0..1..0..1..0..1..0....0..1..1..0..0..1..1....0..1..0..1..0..1..0
%e ..1..0..1..0..1..0..1....0..0..1..1..0..0..1....1..0..1..0..1..0..1
%e ..0..1..0..1..0..1..0....1..0..0..1..1..0..0....0..1..0..1..0..1..1
%Y Cf. A206267.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 05 2012
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