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%I #8 Dec 01 2018 10:13:16
%S 1884,624,1258,1956,3528,6070,11760,21344,39200,80832,147840,276160,
%T 593664,1091072,2059520,4537344,8361984,15877120,35450880,65429504,
%U 124620800,280215552,517570560,987381760,2228158464,4117102592
%N Number of (n+2) X (5+2) 0..3 arrays with every 3 X 3 subblock row and column sum equal to 0 2 3 6 or 7 and every 3 X 3 diagonal and antidiagonal sum not equal to 0 2 3 6 or 7.
%H R. H. Hardin, <a href="/A252111/b252111.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 12*a(n-3) - 32*a(n-6) for n>11.
%F Empirical g.f.: 2*x*(942 + 312*x + 629*x^2 - 10326*x^3 - 1980*x^4 - 4513*x^5 + 24288*x^6 - 512*x^7 + 3308*x^8 + 1152*x^9 + 2304*x^10) / ((1 - 2*x)*(1 + 2*x + 4*x^2)*(1 - 4*x^3)). - _Colin Barker_, Dec 01 2018
%e Some solutions for n=4:
%e ..1..3..3..1..3..3..0....2..3..2..2..3..1..2....0..2..1..0..1..2..0
%e ..3..2..2..3..2..2..3....3..1..3..3..1..3..3....0..1..1..0..1..1..0
%e ..3..2..2..3..2..2..3....2..3..2..2..3..2..2....2..0..0..2..0..0..2
%e ..1..3..3..1..3..3..1....2..3..2..2..3..2..2....0..1..1..0..1..1..0
%e ..3..2..2..3..2..2..3....3..0..3..3..1..3..3....0..1..1..0..1..1..0
%e ..3..1..2..3..2..2..3....2..3..2..2..3..1..2....2..0..0..2..0..0..3
%Y Column 5 of A252114.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 14 2014