%I #4 Dec 10 2014 09:15:35
%S 2146,5632,7160,15116,36852,41816,99808,169196,246152,568040,969972,
%T 1827696,3266080,5533228,11336584,20569704,40514260,75022128,
%U 125003744,253497484,485341704,914789992,1783429620,3100407280,5803394208
%N Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum not 2 4 5 or 7 and every diagonal and antidiagonal sum 2 4 5 or 7
%C Column 2 of A251876
%H R. H. Hardin, <a href="/A251870/b251870.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 17*a(n-3) +16*a(n-5) -95*a(n-6) -272*a(n-8) +59*a(n-9) +1776*a(n-11) +1448*a(n-12) -5296*a(n-14) -5812*a(n-15) +5248*a(n-17) +6720*a(n-18) +8256*a(n-20) +7296*a(n-21) -23552*a(n-23) -23552*a(n-24) +15360*a(n-26) +15360*a(n-27) for n>33
%e Some solutions for n=4
%e ..3..1..2..3....0..0..0..0....3..3..0..3....0..3..0..0....0..1..2..3
%e ..0..2..1..3....0..1..2..3....3..2..1..0....0..2..1..3....0..2..1..3
%e ..0..0..0..0....3..2..1..0....0..1..2..0....3..3..0..0....3..0..3..0
%e ..3..1..2..3....3..0..3..3....0..3..3..3....0..1..2..3....3..1..2..0
%e ..3..2..1..0....3..1..2..0....0..2..1..3....3..2..1..0....3..2..1..0
%e ..0..3..0..3....0..0..3..3....0..1..2..3....3..0..0..0....3..3..0..3
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 10 2014