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A194013 Number of ways to arrange 6 points on an n X n X n triangular grid so that it balances at its center. 1
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 (list; graph; refs; listen; history; text; internal format)
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 A216081 A264503

Adjacent sequences:  A194010 A194011 A194012 * A194014 A194015 A194016

KEYWORD

nonn

AUTHOR

R. H. Hardin, Aug 11 2011

STATUS

approved

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Last modified September 27 22:36 EDT 2020. Contains 337388 sequences. (Running on oeis4.)