A271517 T(n,k)=Number of nXnXn triangular 0..k 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, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 12, 1440, 0, 0, 0, 12, 2961, 207360, 0, 0, 0, 12, 3192, 948561, 46448640, 0, 0, 0, 12, 3195, 1460310, 526617762, 17836277760, 0, 0, 0, 12, 3195, 1563960, 1400351232, 562292792592, 12328435187712, 0, 0, 0, 12, 3195

Offset

1,9

Comments

Table starts

.0...........0............0.............0.............0.............0

.0...........0............0.............0.............0.............0

.0..........12...........12............12............12............12

.0........1440.........2961..........3192..........3195..........3195

.0......207360.......948561.......1460310.......1563960.......1570230

.0....46448640....526617762....1400351232....1914775356....2036654646

.0.17836277760.562292792592.2894119482336.5984895432180.7699557318624

Links

R. H. Hardin, Table of n, a(n) for n = 1..86

Example

Some solutions for n=4 k=4
.....0........0........0........0........0........0........0........0
....1.1......1.0......0.1......1.0......1.1......1.0......1.0......0.0
...0.1.2....2.1.1....0.1.0....1.1.1....0.0.0....2.1.1....1.1.2....1.2.0
..3.3.2.2..0.3.1.1..2.2.0.0..0.2.2.1..2.1.0.0..2.2.0.0..0.1.0.0..1.3.3.0

Crossrefs

Sequence in context: A283643 A360221 A271437 * A200512 A280832 A104203

Adjacent sequences: A271514 A271515 A271516 * A271518 A271519 A271520

Keyword

nonn,tabl

Author

R. H. Hardin, Apr 09 2016

Status

approved