%I #4 Dec 17 2014 15:28:10
%S 1299,813,1741,5367,18175,62391,213791,735125,2535533,8732005,
%T 30044255,103433231,356211387,1226555493,4222869449,14539251555,
%U 50061141995,172368825763,593481175837,2043402198169,7035653624481,24224571439505
%N Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 5 6 or 8
%C Column 3 of A252473
%H R. H. Hardin, <a href="/A252468/b252468.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +a(n-2) +12*a(n-3) +33*a(n-4) +43*a(n-5) +36*a(n-6) -44*a(n-7) -113*a(n-8) -56*a(n-9) +10*a(n-10) +70*a(n-11) +89*a(n-12) +6*a(n-13) -51*a(n-14) -42*a(n-15) -8*a(n-16) +6*a(n-17) +4*a(n-18) +4*a(n-19) for n>24
%e Some solutions for n=4
%e ..1..3..3..3..3....3..3..3..1..3....3..3..3..3..3....3..3..3..1..3
%e ..3..3..3..3..3....3..3..3..3..3....1..3..3..3..3....1..3..3..3..1
%e ..3..1..3..3..1....1..3..3..3..3....3..3..3..3..3....3..3..3..3..3
%e ..3..3..3..3..3....3..3..1..3..3....3..3..3..3..1....3..3..3..3..3
%e ..3..3..3..3..3....3..3..3..3..1....3..3..3..3..3....3..3..3..1..3
%e ..3..1..3..3..1....3..3..3..1..3....3..1..3..3..3....1..3..3..3..3
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 17 2014