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A251905
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T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum unequal to 4 or 5 and every diagonal and antidiagonal sum equal to 4 or 5
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9
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1652, 2596, 2596, 3312, 1548, 3312, 5264, 1586, 1586, 5264, 9208, 1962, 1536, 1962, 9208, 16532, 3910, 2772, 2772, 3910, 16532, 23868, 6744, 6408, 4208, 6408, 6744, 23868, 39884, 9830, 10662, 10266, 10266, 10662, 9830, 39884, 71752, 18590, 16848
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OFFSET
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1,1
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COMMENTS
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Table starts
...1652..2596...3312...5264....9208...16532...23868....39884....71752....133166
...2596..1548...1586...1962....3910....6744....9830....18590....34826.....59814
...3312..1586...1536...2772....6408...10662...16848....35992....68496....124364
...5264..1962...2772...4208...10266...17976...28288....66216...121684....210948
...9208..3910...6408..10266...30504...61686..101508...274648...604412...1157444
..16532..6744..10662..17976...61686..120984..202792...630776..1468994...2840656
..23868..9830..16848..28288..101508..202792..325504..1183404..2519780...4658222
..39884.18590..35992..66216..274648..630776.1183404..4618864.11820480..26443744
..71752.34826..68496.121684..604412.1468994.2519780.11820480.31618896..68114556
.133166.59814.124364.210948.1157444.2840656.4658222.26443744.68114556.127303080
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LINKS
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FORMULA
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Empirical for column k:
k=1: [linear recurrence of order 35] for n>45
k=2: [order 26] for n>33
k=3: [order 26] for n>30
k=4: [order 33] for n>37
k=5: [order 36] for n>40
k=6: [order 44] for n>48
k=7: [order 54] for n>58
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EXAMPLE
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Some solutions for n=4 k=4
..3..3..0..0..2..1....1..0..1..0..2..0....1..2..0..1..1..1....2..0..1..0..1..0
..0..2..1..3..3..0....3..0..3..0..3..0....0..3..0..3..0..3....3..0..3..0..3..0
..3..3..0..0..2..1....3..1..3..2..3..2....2..3..1..3..2..3....3..1..3..2..3..1
..0..2..1..3..3..0....0..2..0..1..0..1....1..0..2..0..1..0....0..2..0..1..0..2
..3..3..0..0..1..2....0..3..0..3..0..3....3..0..3..0..3..0....0..3..0..3..0..3
..0..1..2..3..3..1....2..3..2..3..1..3....2..2..3..2..2..2....1..3..2..3..1..3
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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