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 A194136 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. 10
 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 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS 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 LINKS R. H. Hardin, Table of n, a(n) for n = 1..267 EXAMPLE 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 CROSSREFS Column 1 is A000217. Column 2 is A050534. Sequence in context: A014715 A131656 A194492 * A194480 A194485 A120987 Adjacent sequences:  A194133 A194134 A194135 * A194137 A194138 A194139 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Aug 17 2011 STATUS approved

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Last modified April 19 00:18 EDT 2021. Contains 343098 sequences. (Running on oeis4.)