%I #4 Dec 17 2014 10:20:13
%S 1536,1704,3796,6834,22038,62288,113324,380113,1090041,1973072,
%T 6662465,19166898,34694777,117327314,337764647,611422010,2068344465,
%U 5955308893,10780434860,36471334123,105014194820,190099680839,643138365330
%N Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 2 5 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 2 5 6 or 7
%C Column 4 of A252423
%H R. H. Hardin, <a href="/A252419/b252419.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 25*a(n-3) -146*a(n-6) +295*a(n-9) -193*a(n-12) +20*a(n-15) for n>21
%e Some solutions for n=4
%e ..2..0..1..0..0..1....1..1..2..1..1..2....2..1..1..2..1..1....0..1..0..3..1..0
%e ..0..3..1..0..0..1....0..0..1..3..0..1....1..0..0..1..0..2....0..1..0..0..1..0
%e ..1..1..2..1..1..2....3..0..1..0..0..1....1..0..0..1..3..0....1..2..1..1..2..1
%e ..3..0..1..0..0..1....1..1..2..1..1..2....2..1..1..2..1..1....0..1..0..3..1..0
%e ..0..0..1..3..0..1....0..0..1..3..0..1....1..0..0..1..0..3....0..1..0..0..1..3
%e ..1..1..2..1..1..2....0..3..1..0..0..1....1..3..0..1..0..0....1..2..1..1..2..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 17 2014