A194134 Number of ways to arrange 6 indistinguishable points on an n X n X n triangular grid so that no three points are collinear at any angle.

0, 0, 0, 1, 244, 6480, 69798, 496198, 2595897, 10912452, 38739354, 121694240, 342722071, 887407361, 2136513884, 4828507719, 10332712952, 21117591802, 41392701372, 78248425161, 143087468105, 253946607496, 438734862156

Offset

1,5

Comments

Column 6 of A194136.

Links

R. H. Hardin, Table of n, a(n) for n = 1..27

Example

Some solutions for 5 X 5 X 5:
......1..........1..........1..........0..........0..........0..........0
.....0.1........1.0........0.0........0.1........1.0........1.1........1.1
....1.0.0......0.0.0......1.0.0......1.0.1......0.1.1......0.0.1......0.0.0
...0.0.1.0....0.1.1.0....0.1.0.1....1.0.1.0....0.1.0.0....1.0.0.0....1.0.0.1
..0.1.1.0.0..0.0.1.0.1..0.1.0.1.0..0.0.0.1.0..0.0.1.0.1..0.1.0.1.0..0.1.0.1.0

Crossrefs

Sequence in context: A178266 A081864 A002594 * A085440 A218246 A217471

Adjacent sequences: A194131 A194132 A194133 * A194135 A194136 A194137

Keyword

nonn

Author

R. H. Hardin, Aug 17 2011

Status

approved