A194013 Number of ways to arrange 6 points on an n X n X n triangular grid so that it balances at its center.

0, 0, 1, 12, 136, 909, 4350, 16602, 53679, 152553, 391425, 923809, 2033619, 4220293, 8326008, 15719472, 28556469, 50138721, 85400418, 141555750, 228947893, 362144832, 561340717, 854121696, 1277672814, 1881508263, 2730820641

Offset

1,4

Comments

Column 6 of A194016.

Links

R. H. Hardin, Table of n, a(n) for n = 1..57

Example

Some solutions for 7 X 7 X 7:
........0..............0..............0..............1..............0
.......0.0............0.0............0.0............0.0............1.0
......1.1.0..........0.1.1..........0.1.0..........0.0.0..........0.0.0
.....0.0.1.0........0.0.0.0........1.1.0.0........1.1.0.0........0.0.1.0
....0.0.0.0.0......0.0.0.0.1......0.0.0.0.1......0.0.0.0.0......0.0.0.1.0
...0.0.0.1.0.0....1.0.0.0.1.0....0.0.0.0.0.0....0.0.0.0.0.0....1.0.0.0.1.0
..0.0.1.0.1.0.0..0.1.0.0.0.0.0..0.1.0.0.0.1.0..1.0.0.0.0.1.1..0.0.0.1.0.0.0

Crossrefs

Sequence in context: A288035 A290474 A030023 * A189501 A373107 A351514

Adjacent sequences: A194010 A194011 A194012 * A194014 A194015 A194016

Keyword

nonn

Author

R. H. Hardin, Aug 11 2011

Status

approved