login
Number of (n+2)X(n+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 2 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 2 3 4 6 or 7
1

%I #5 Dec 16 2014 08:27:51

%S 206,300,1407,4895,67509,1181875,5767680,279737770,16717863291,

%T 96797935205,16989739529599,3629146902096812,22980857590950669,

%U 14887212701710994967,11651691211105625876242,77285480456872335366242

%N Number of (n+2)X(n+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 2 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 2 3 4 6 or 7

%C Diagonal of A252278

%H R. H. Hardin, <a href="/A252270/b252270.txt">Table of n, a(n) for n = 1..17</a>

%e Some solutions for n=4

%e ..2..3..3..2..3..3....3..2..0..3..2..3....3..3..2..3..0..2....2..1..2..2..1..2

%e ..1..2..2..1..2..2....0..2..3..3..2..0....2..2..1..2..2..1....3..2..3..0..2..3

%e ..2..3..3..2..3..3....2..1..2..2..1..2....0..3..2..3..3..2....0..2..3..3..2..0

%e ..2..3..0..2..3..0....3..2..3..3..2..3....3..3..2..3..0..2....2..1..2..2..1..2

%e ..1..2..2..1..2..2....3..2..3..0..2..3....2..2..1..2..2..1....3..2..3..3..2..3

%e ..2..3..3..2..3..3....2..1..2..2..1..2....3..3..2..3..3..2....3..2..3..3..2..3

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 16 2014