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A194136
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T(n,k) = number of ways to arrange k indistinguishable points on an n X n X n triangular grid so that no three points are collinear at any angle.
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11
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1, 0, 3, 0, 3, 6, 0, 1, 15, 10, 0, 0, 17, 45, 15, 0, 0, 6, 105, 105, 21, 0, 0, 0, 114, 407, 210, 28, 0, 0, 0, 39, 843, 1216, 378, 36, 0, 0, 0, 1, 792, 4122, 3036, 630, 45, 0, 0, 0, 0, 244, 7587, 14988, 6696, 990, 55, 0, 0, 0, 0, 9, 6480, 43836, 45414, 13428, 1485, 66, 0, 0, 0, 0
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OFFSET
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1,3
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COMMENTS
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Table starts
...1....0......0.......0.........0..........0...........0............0
...3....3......1.......0.........0..........0...........0............0
...6...15.....17.......6.........0..........0...........0............0
..10...45....105.....114........39..........1...........0............0
..15..105....407.....843.......792........244...........9............0
..21..210...1216....4122......7587.......6480........1875...........78
..28..378...3036...14988.....43836......69798.......52323........14268
..36..630...6696...45414....194013.....496198......695616.......464934
..45..990..13428..119340....696765....2595897.....5840088......7278867
..55.1485..25005..281442...2145687...10912452....35715529.....71089536
..66.2145..43861..608616...5851044...38739354...172520643....496946172
..78.3003..73277.1228812..14546412..121694240...708871152...2796515883
..91.4095.117471.2338779..33347130..342722071..2517687856..12966188538
.105.5460.181880.4240284..71662911..887407361..8023634766..52262929401
.120.7140.273268.7371414.145616964.2136513884.23292994812.187041426756
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LINKS
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EXAMPLE
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Some solutions for n=4, k=4:
.....1........0........1........0........0........0........0........0
....0.0......1.1......1.0......0.1......1.1......1.0......1.1......0.1
...0.1.0....0.0.1....0.0.0....1.0.0....1.0.0....1.0.1....1.1.0....1.1.0
..1.0.0.1..1.0.0.0..0.1.1.0..0.1.0.1..0.0.1.0..0.0.1.0..0.0.0.0..0.0.0.1
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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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