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Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row and column sum 2 4 5 or 7 and every diagonal and antidiagonal sum not 2 4 5 or 7
1

%I #4 Dec 11 2014 06:38:26

%S 8932,19964,59760,253148,1316762,6752446,36065236,196441982,

%T 1066828482,5808060274,31696059176,172926905548,943553450318,

%U 5149387529980,28102890775706,153374231326410,837067405353424,4568448157102758

%N Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row and column sum 2 4 5 or 7 and every diagonal and antidiagonal sum not 2 4 5 or 7

%C Column 6 of A251923

%H R. H. Hardin, <a href="/A251921/b251921.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 11 2014