%I #9 Feb 16 2018 10:20:44
%S 2419,1715,1042,1264,1984,3280,7376,18776,48392,130552,355336,966472,
%T 2638568,7207496,19684040,53775496,146916424,401370184,1096560584,
%U 2995858760,8184813896,22361322568,61092269896,166907137864,455998772552
%N Number of (n+2) X 7 0..2 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically or nwtose diagonally exactly three ways, and new values 0..2 introduced in row major order.
%C Column 5 of A204370.
%H R. H. Hardin, <a href="/A204367/b204367.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n1) 6*a(n4) +4*a(n6) for n>9.
%F Empirical g.f.: x*(2419  5542*x  4103*x^2  1862*x^3 + 12706*x^4 + 7618*x^5  5888*x^6  2628*x^7  200*x^8) / ((1  x)*(1  2*x  2*x^2)*(1  2*x^3)).  _Colin Barker_, Feb 16 2018
%e Some solutions for n=5:
%e ..0..0..1..1..1..0..1....0..0..1..1..1..0..1....0..1..2..2..1..1..2
%e ..0..0..0..1..1..1..2....0..0..0..1..1..1..2....0..1..2..2..1..1..1
%e ..1..0..0..0..1..1..1....2..0..0..0..1..1..1....0..1..2..2..1..1..2
%e ..1..1..0..0..0..1..1....2..2..0..0..0..1..1....0..1..2..2..1..1..2
%e ..1..1..1..0..0..0..1....2..2..2..0..0..0..1....0..1..2..2..1..1..2
%e ..0..1..1..1..0..0..0....0..2..2..2..0..0..0....0..1..2..2..1..1..2
%e ..0..2..1..1..1..0..0....2..0..2..2..2..0..0....0..1..2..2..1..1..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 14 2012
