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A251829
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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 not 3 or 6 and every diagonal and antidiagonal sum 3 or 6
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9
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1890, 3930, 3930, 9354, 8674, 9354, 22266, 28202, 28202, 22266, 61058, 75498, 130826, 75498, 61058, 160322, 284506, 397474, 397474, 284506, 160322, 413202, 1095314, 2395590, 1692106, 2395590, 1095314, 413202, 1139826, 3073138, 12830794
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OFFSET
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1,1
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COMMENTS
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Table starts
....1890......3930.......9354.......22266.........61058.........160322
....3930......8674......28202.......75498........284506........1095314
....9354.....28202.....130826......397474.......2395590.......12830794
...22266.....75498.....397474.....1692106......10655426.......60427490
...61058....284506....2395590....10655426.....101716526......951770218
..160322...1095314...12830794....60427490.....951770218....12583469514
..413202...3073138...38456182...266585018....4235688278....56477451898
.1139826..12215010..258040386..1720131962...41895955226...971710872170
.3118482..49634706.1458543158..9899825738..402976069458.13469722571314
.8319882.140568394.4283605290.44110390034.1784010963858.58074471696954
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LINKS
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FORMULA
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Empirical for column k:
k=1: [linear recurrence of order 45] for n>48
k=2: [order 33] for n>36
k=3: [order 39] for n>42
k=4: [order 26] for n>28
k=5: [order 63] for n>66
k=6: [order 79] for n>84
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EXAMPLE
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Some solutions for n=3 k=4
..1..0..3..1..3..0....0..2..0..3..2..0....0..2..3..0..2..3....0..2..3..3..2..3
..0..2..2..0..2..2....3..2..3..0..2..0....0..2..0..0..2..3....0..2..0..0..2..0
..1..3..3..1..3..0....1..0..1..1..3..1....1..3..1..1..0..1....1..0..1..1..0..1
..1..3..0..1..0..3....3..2..0..0..2..0....0..2..0..3..2..3....3..2..3..3..2..3
..0..2..2..3..2..2....0..2..0..3..2..3....0..2..3..0..2..3....0..2..3..0..2..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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