%I
%S 61,46,31,28,38,49,70,106,159,248,394,625,1002,1614,2599,4196,6782,
%T 10961,17726,28674,46383,75040,121410,196433,317826,514246,832055,
%U 1346284,2178326,3524593,5702902,9227482,14930367,24157832,39088186,63246001
%N Number of (n+2) X 4 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 2 of A204754.
%H R. H. Hardin, <a href="/A204748/b204748.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n1) +a(n2) +a(n3) a(n4) a(n5) for n>8.
%F Empirical g.f.: x*(61  15*x  76*x^2  110*x^3  6*x^4 + 59*x^5 + 32*x^6 + 8*x^7) / ((1  x)*(1  x  x^2)*(1 + x + x^2)).  _Colin Barker_, Jun 09 2018
%e Some solutions for n=3:
%e ..0..0..0..0....0..1..1..1....0..0..1..1....0..0..0..0....0..0..0..0
%e ..0..0..0..0....0..0..1..1....0..0..1..1....1..1..1..1....1..1..1..1
%e ..1..1..1..1....0..0..0..1....0..0..1..1....1..1..1..1....0..0..0..0
%e ..0..0..0..0....1..0..0..0....0..0..1..1....0..0..0..0....1..1..1..1
%e ..1..1..1..1....1..1..0..0....0..0..1..1....1..1..1..1....0..0..0..0
%Y Cf. A204754.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 18 2012
