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Number of (n+2)X(1+2) 0..3 arrays with every row, column, diagonal or antidiagonal in each 3X3 subblock summing to a prime
1

%I #5 Dec 09 2014 17:03:59

%S 2148,4953,15899,67209,327193,1697028,9016304,48280085,259123809,

%T 1392132935,7481800749,40211989018,216132151786,1161698250394,

%U 6244080094399,33561655362846,180392638316345,969604161599181

%N Number of (n+2)X(1+2) 0..3 arrays with every row, column, diagonal or antidiagonal in each 3X3 subblock summing to a prime

%C Column 1 of A251852

%H R. H. Hardin, <a href="/A251846/b251846.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 09 2014