%I #8 Dec 02 2018 09:00:59
%S 9922,219824,718514,1619714,4297634,13842872,44099648,135348914,
%T 414030384,1274652450,3930132146,12105939362,37274285880,114781892768,
%U 353490924114,1088626770704,3352521852434,10324377012002,31794906089378
%N Number of (n+2) X (7+2) 0..2 arrays with every 3 X 3 subblock row and column sum 2 3 or 4 and every diagonal and antidiagonal sum not 2 3 or 4.
%H R. H. Hardin, <a href="/A252227/b252227.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) - a(n-2) + 3*a(n-3) + 3*a(n-4) - a(n-5) - a(n-6) for n>8.
%F Empirical g.f.: 2*x*(4961 + 95029*x + 34482*x^2 - 172885*x^3 - 266116*x^4 - 117704*x^5 + 41864*x^6 + 39568*x^7) / ((1 - x + 2*x^2 - x^3)*(1 - 2*x - 3*x^2 - x^3)). - _Colin Barker_, Dec 02 2018
%e Some solutions for n=1:
%e ..1..0..2..0..1..1..2..0..1....1..0..2..0..2..0..1..1..1
%e ..0..2..0..2..0..2..0..2..2....0..2..0..2..0..2..0..2..1
%e ..2..0..2..0..1..1..2..0..1....1..1..2..0..2..0..2..0..2
%Y Column 7 of A252228.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 15 2014