%I #4 Dec 18 2014 09:46:37
%S 1510,1752,4006,10585,33635,93997,270672,884446,2534461,7459102,
%T 24855787,72009187,214010858,720687640,2098476357,6265072674,
%U 21204735728,61886663234,185148696490,628118624808,1835112897703,5495335458258
%N Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 4 6 or 7
%C Column 3 of A252558
%H R. H. Hardin, <a href="/A252553/b252553.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 57*a(n-3) -1068*a(n-6) +8828*a(n-9) -37486*a(n-12) +91215*a(n-15) -139676*a(n-18) +143042*a(n-21) -98725*a(n-24) +44005*a(n-27) -11816*a(n-30) +1746*a(n-33) -124*a(n-36) +3*a(n-39) for n>45
%e Some solutions for n=4
%e ..2..2..0..0..2....3..0..1..0..3....2..0..2..2..0....3..3..1..3..0
%e ..1..3..3..1..3....3..2..2..3..2....0..3..1..3..3....3..2..2..3..2
%e ..2..0..2..2..3....2..3..2..2..0....3..2..2..3..2....2..0..2..2..3
%e ..2..2..3..2..2....3..3..1..3..3....2..3..2..2..3....3..3..1..3..3
%e ..1..3..0..1..0....0..2..2..0..2....3..0..1..0..3....0..2..2..3..2
%e ..2..3..2..2..3....2..0..2..2..0....3..2..2..3..2....0..0..2..2..3
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 18 2014