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%I #4 Dec 16 2014 17:33:04
%S 1557,2498,2498,4197,1974,4197,7815,1918,1918,7815,15269,2579,2493,
%T 2579,15269,28883,5029,6011,6011,5029,28883,56052,10448,18820,23422,
%U 18820,10448,56052,111752,25875,62915,97191,97191,62915,25875,111752,222145
%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 1 3 6 or 7
%C Table starts
%C ...1557...2498....4197......7815......15269.......28883........56052
%C ...2498...1974....1918......2579.......5029.......10448........25875
%C ...4197...1918....2493......6011......18820.......62915.......214325
%C ...7815...2579....6011.....23422......97191......409636......1741936
%C ..15269...5029...18820.....97191.....505062.....2670867.....14105723
%C ..28883..10448...62915....409636....2670867....17562749....115183853
%C ..56052..25875..214325...1741936...14105723...115183853....937981280
%C .111752..68772..735703...7424869...74390225...755608304...7634090167
%C .222145.184492.2536027..31630640..393421805..4967205339..62282796267
%C .444181.504259.8732521.134638865.2079994660.32613907484.507708324342
%H R. H. Hardin, <a href="/A252321/b252321.txt">Table of n, a(n) for n = 1..241</a>
%F Empirical for column k:
%F k=2: [linear recurrence of order 58] for n>68
%F k=3: [order 27] for n>34
%F k=4: [order 32] for n>37
%F k=5: [order 52] for n>57
%F k=6: [order 80] for n>85
%e Some solutions for n=4 k=4
%e ..3..2..3..3..3..2....3..3..2..3..3..3....3..3..2..3..3..2....3..2..3..3..2..3
%e ..3..3..3..3..3..3....3..3..3..3..2..3....2..3..3..3..3..3....3..3..3..3..3..2
%e ..3..3..3..3..3..3....3..3..3..3..3..3....3..3..3..3..3..3....3..3..3..3..3..3
%e ..3..3..3..3..3..3....3..3..3..3..3..3....3..3..3..3..3..3....3..3..3..3..2..3
%e ..3..3..3..2..3..3....3..3..3..3..3..2....3..3..3..3..3..3....3..3..3..3..3..3
%e ..3..2..3..3..3..3....3..3..2..3..3..3....2..3..3..2..3..3....3..2..3..3..3..3
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 16 2014
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