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%I #11 Jun 10 2018 20:46:57
%S 590,49,48,53,61,74,95,129,184,273,417,650,1027,1637,2624,4221,6805,
%T 10986,17751,28697,46408,75065,121433,196458,317851,514269,832080,
%U 1346309,2178349,3524618,5702927,9227505,14930392,24157857,39088209
%N Number of (n+2) X 8 0..1 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly three ways, and new values 0..1 introduced in row major order.
%C Column 6 of A204754.
%H R. H. Hardin, <a href="/A204752/b204752.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) - a(n-3) for n>5.
%F Empirical g.f.: x*(590 - 1131*x - 50*x^2 + 547*x^3 + 4*x^4) / ((1 - x)*(1 - x - x^2)). - _Colin Barker_, Jun 10 2018
%e Some solutions for n=3:
%e 0 1 1 0 0 1 1 0 0 1 1 0 0 1 0 0 0 1 1 0 1 0 1 1
%e 0 1 1 0 0 1 1 0 0 1 1 0 0 1 0 0 0 1 1 0 1 0 1 1
%e 0 1 1 0 0 1 1 0 0 1 1 0 0 1 0 0 0 1 1 0 1 0 1 1
%e 0 1 1 0 0 1 1 0 0 1 1 0 0 1 0 0 0 1 1 0 1 0 1 1
%e 0 1 1 0 0 1 1 0 0 1 1 0 0 1 0 0 0 1 1 0 1 0 1 1
%Y Cf. A204754.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 18 2012
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