A194132 Number of ways to arrange 4 indistinguishable points on an n X n X n triangular grid so that no three points are collinear at any angle.

0, 0, 6, 114, 843, 4122, 14988, 45414, 119340, 281442, 608616, 1228812, 2338779, 4240284, 7371414, 12354156, 20052846, 31653108, 48726846, 73358964, 108233781, 156793974, 223400004, 313529940, 433929258, 592922880, 800651538, 1069378740

Offset

1,3

Comments

Column 4 of A194136.

Links

R. H. Hardin, Table of n, a(n) for n = 1..78

Example

All solutions for 3 X 3 X 3:
....1......1......0......0......1......0
...0.1....1.1....1.1....1.1....1.0....1.1
..1.1.0..0.1.0..1.1.0..1.0.1..0.1.1..0.1.1

Crossrefs

Sequence in context: A066931 A324669 A051228 * A194476 A059116 A121544

Adjacent sequences: A194129 A194130 A194131 * A194133 A194134 A194135

Keyword

nonn

Author

R. H. Hardin, Aug 17 2011

Status

approved