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%I #4 Dec 11 2014 12:59:31
%S 2172,15246,15246,117100,188296,117100,922890,2723490,2723490,922890,
%T 7415658,41025310,78070792,41025310,7415658,60395332,641763520,
%U 2371536636,2371536636,641763520,60395332,495518534,10250030572
%N T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 3
%C Table starts
%C .......2172.........15246...........117100............922890............7415658
%C ......15246........188296..........2723490..........41025310..........641763520
%C .....117100.......2723490.........78070792........2371536636........74995353698
%C .....922890......41025310.......2371536636......146613818422......9379424889214
%C ....7415658.....641763520......74995353698.....9379424889214...1207982363641170
%C ...60395332...10250030572....2414437707602...608058611665734.157141917277860504
%C ..495518534..165378271354...78329223513048.39605904141383754
%C .4085061316.2684347690572.2550593612042104
%H R. H. Hardin, <a href="/A251955/b251955.txt">Table of n, a(n) for n = 1..60</a>
%e Some solutions for n=2 k=4
%e ..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
%e ..1..2..2..0..0..0....2..0..0..1..0..0....0..0..0..2..0..2....1..0..0..0..0..2
%e ..0..2..2..0..0..1....2..0..0..0..1..1....2..0..0..0..2..0....0..0..0..0..0..0
%e ..0..2..2..0..0..1....2..0..0..1..1..0....2..0..2..2..2..2....0..2..0..0..2..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 11 2014