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Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum equal to 0 3 5 6 or 8
1

%I #4 Dec 16 2014 20:47:38

%S 7109,29159,111519,425816,2400740,11021412,49182987,274849809,

%T 1296591297,5991019950,32860137008,156858856774,738121931124,

%U 3993260696684,19234679231972,91617107661579,490772694795537,2380233854933985

%N Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum equal to 0 3 5 6 or 8

%C Column 6 of A252352

%H R. H. Hardin, <a href="/A252350/b252350.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A252350/a252350.txt">Empirical recurrence of order 82</a>

%F Empirical recurrence of order 82 (see link above)

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 16 2014