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

%I #4 Dec 14 2014 20:48:13

%S 21186,6883,20753,67674,282255,1007913,3444924,14647117,52661401,

%T 182127968,775835591,2811986165,9812456922,41719396939,152097094855,

%U 534426043974,2266292784043,8296983432537,29306814934546,123963603824937

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

%C Column 6 of A252167

%H R. H. Hardin, <a href="/A252165/b252165.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A252165/a252165.txt">Empirical recurrence of order 86</a>

%F Empirical recurrence of order 86 (see link above)

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 14 2014