A194134 Number of ways to arrange 6 indistinguishable points on an n X n X n triangular grid so that no three points are collinear at any angle.
0, 0, 0, 1, 244, 6480, 69798, 496198, 2595897, 10912452, 38739354, 121694240, 342722071, 887407361, 2136513884, 4828507719, 10332712952, 21117591802, 41392701372, 78248425161, 143087468105, 253946607496, 438734862156
Offset: 1
Keywords
Examples
Some solutions for 5 X 5 X 5: ......1..........1..........1..........0..........0..........0..........0 .....0.1........1.0........0.0........0.1........1.0........1.1........1.1 ....1.0.0......0.0.0......1.0.0......1.0.1......0.1.1......0.0.1......0.0.0 ...0.0.1.0....0.1.1.0....0.1.0.1....1.0.1.0....0.1.0.0....1.0.0.0....1.0.0.1 ..0.1.1.0.0..0.0.1.0.1..0.1.0.1.0..0.0.0.1.0..0.0.1.0.1..0.1.0.1.0..0.1.0.1.0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..27
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