A271516 Number of nXnXn triangular 0..4 arrays with new values introduced in sequential zero-upwards order and exactly one upright 2x2x2 triangle having values all equal and exactly one upright 2x2x2 triangle having values all different.

0, 0, 12, 3192, 1460310, 1400351232, 2894119482336, 13177722597521472, 135132206434712566080

Offset

1,3

Comments

Column 4 of A271517.

Links

Table of n, a(n) for n=1..9.

Example

Some solutions for n=4
.....0........0........0........0........0........0........0........0
....1.2......0.1......0.1......0.0......1.0......0.0......1.2......1.0
...0.0.0....0.0.1....1.0.1....1.1.1....0.0.1....1.1.0....1.2.3....2.0.1
..2.0.0.2..0.2.1.2..0.0.0.2..2.3.1.3..2.1.1.1..2.2.0.2..1.2.3.3..2.0.0.1

Crossrefs

Cf. A271517.

Sequence in context: A268008 A222922 A268048 * A012603 A012737 A370298

Adjacent sequences: A271513 A271514 A271515 * A271517 A271518 A271519

Keyword

nonn

Author

R. H. Hardin, Apr 09 2016

Status

approved