A194133 Number of ways to arrange 5 indistinguishable points on an n X n X n triangular grid so that no three points are collinear at any angle.

0, 0, 0, 39, 792, 7587, 43836, 194013, 696765, 2145687, 5851044, 14546412, 33347130, 71662911, 145616964, 281816991, 522786390, 935155011, 1618729257, 2722297371, 4459330956, 7133246976, 11168002962, 17149002624, 25863493314, 38369771853

Offset

1,4

Comments

Column 5 of A194136.

Links

R. H. Hardin, Table of n, a(n) for n = 1..42

Example

Some solutions for 4 X 4 X 4:
.....1........0........0........1........0........0........0........1
....0.1......1.0......0.1......0.0......1.1......0.1......0.1......1.0
...0.1.0....0.1.1....1.0.1....1.1.0....1.0.1....1.1.0....0.1.1....0.1.0
..1.0.1.0..0.1.0.1..1.0.1.0..0.1.0.1..0.1.0.0..1.0.0.1..1.0.1.0..0.1.0.1

Crossrefs

Sequence in context: A126927 A010991 A221358 * A069520 A232354 A232067

Adjacent sequences: A194130 A194131 A194132 * A194134 A194135 A194136

Keyword

nonn

Author

R. H. Hardin, Aug 17 2011

Status

approved