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Number of (n+2)X(n+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 2 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 2 5 6 or 7
0

%I #4 Dec 18 2014 06:52:18

%S 1262,1644,11476,68163,505129,5381168,59046724,864964151,15499377193,

%T 419125606602,36655528860363,2033535839480653,152297210256507368,

%U 47940020237135094139,5579424296594967852346

%N Number of (n+2)X(n+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 2 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 2 5 6 or 7

%C Diagonal of A252514

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 18 2014