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%I #8 Jun 15 2018 08:27:03
%S 154,174,503,1296,3011,6444,12878,24319,43766,75591,125978,203499,
%T 319778,490323,735479,1081584,1562283,2220084,3108113,4292154,5852933,
%U 7888734,10518308,13884165,18156212,23535829,30260348,38608029,48903500,61523757
%N Number of (n+1) X 8 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 7 of A206267.
%H R. H. Hardin, <a href="/A206266/b206266.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 8*a(n-1) - 27*a(n-2) + 48*a(n-3) - 42*a(n-4) + 42*a(n-6) - 48*a(n-7) + 27*a(n-8) - 8*a(n-9) + a(n-10) for n>11.
%F Empirical g.f.: x*(154 - 1058*x + 3269*x^2 - 5422*x^3 + 4340*x^4 + 512*x^5 - 4927*x^6 + 5271*x^7 - 2862*x^8 + 826*x^9 - 101*x^10) / ((1 - x)^9*(1 + x)). - _Colin Barker_, Jun 15 2018
%e Some solutions for n=4:
%e ..0..0..0..0..0..0..0..0....1..0..0..0..0..0..0..0....1..1..1..1..0..0..0..0
%e ..0..0..0..0..0..0..0..0....1..0..0..0..0..0..0..0....1..1..1..1..0..0..0..0
%e ..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0....1..0..0..0..0..0..0..0
%e ..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0....1..0..0..0..0..0..0..0
%e ..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0....1..0..0..0..0..0..0..0
%Y Cf. A206267.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 05 2012
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