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A252457
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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 2 4 6 or 7
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9
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661, 228, 228, 323, 334, 323, 747, 959, 959, 747, 1731, 2643, 3366, 2643, 1731, 3938, 7223, 11334, 11334, 7223, 3938, 9013, 20242, 38966, 48170, 38966, 20242, 9013, 20820, 56643, 134907, 203320, 203320, 134907, 56643, 20820, 48122, 157904, 464384
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OFFSET
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1,1
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COMMENTS
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Table starts
....661.....228......323.......747.......1731........3938..........9013
....228.....334......959......2643.......7223.......20242.........56643
....323.....959.....3366.....11334......38966......134907........464384
....747....2643....11334.....48170.....203320......863351.......3675259
...1731....7223....38966....203320....1058050.....5596619......29527662
...3938...20242...134907....863351....5596619....36760486.....240708592
...9013...56643...464384...3675259...29527662...240708592....1956458824
..20820..157904..1603397..15672575..155721485..1577703429...15909752456
..48122..441732..5553753..66857788..823647387.10367458379..129736526156
.111079.1236191.19211480.285055325.4355427974.68072122171.1057338390851
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LINKS
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FORMULA
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Empirical for column k:
k=1: [linear recurrence of order 17] for n>20
k=2: [order 22] for n>25
k=3: [order 44] for n>47
k=4: [order 69] for n>73
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EXAMPLE
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Some solutions for n=4 k=4
..3..1..1..1..3..1....2..3..3..3..2..3....3..3..3..3..3..3....1..1..1..1..3..1
..3..1..1..1..1..1....3..3..2..3..3..3....3..3..3..3..3..3....3..1..1..1..1..1
..3..1..1..3..1..1....3..3..3..3..3..2....3..3..3..3..3..3....1..1..1..1..1..3
..3..1..1..1..1..3....3..2..3..3..3..3....3..3..3..3..3..3....1..3..1..1..1..1
..3..1..1..1..1..1....3..3..3..3..3..3....2..3..3..3..3..2....1..1..1..1..3..1
..3..1..1..1..1..1....3..3..2..3..3..2....3..3..3..2..3..3....1..1..3..1..1..1
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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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