A194023 Number of ways to arrange 12 points on an n X n X n triangular grid on an isosceles triangle so that it balances at the midpoint of its central altitude.

0, 0, 0, 0, 0, 49, 10010, 413727, 8363578, 108576799, 1030757941, 7721414278, 47957203600, 255640086696, 1199509369309, 5050244459572, 19366840027021, 68459296434321, 225242952960337, 695338409837163, 2027581798386055

Offset

1,6

Comments

Column 12 of A194024.

Links

R. H. Hardin, Table of n, a(n) for n = 1..31

Example

Some solutions for 6 X 6 X 6:
.......1............1............1............1............1............1
......1.1..........1.1..........1.1..........1.1..........1.1..........1.1
.....1.1.1........1.1.1........1.1.1........1.1.1........1.0.1........1.1.1
....1.0.1.1......1.1.0.1......0.1.1.1......1.0.1.1......1.1.1.1......1.0.1.1
...0.1.0.1.0....1.0.1.0.0....1.0.0.0.1....0.0.1.1.0....0.1.1.1.0....1.0.1.0.0
..0.0.1.0.0.0..0.0.0.0.0.1..0.1.0.0.0.0..0.1.0.0.0.0..0.0.0.0.0.0..0.0.0.0.1.0

Crossrefs

Sequence in context: A014801 A187406 A094199 * A195273 A222459 A145251

Adjacent sequences: A194020 A194021 A194022 * A194024 A194025 A194026

Keyword

nonn

Author

R. H. Hardin, Aug 12 2011

Status

approved