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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. 1
0, 0, 0, 0, 0, 49, 10010, 413727, 8363578, 108576799, 1030757941, 7721414278, 47957203600, 255640086696, 1199509369309, 5050244459572, 19366840027021, 68459296434321, 225242952960337, 695338409837163, 2027581798386055 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 10 16:24 EDT 2022. Contains 356039 sequences. (Running on oeis4.)