A271407 T(n,k)=Number of nXnXn triangular 0..k arrays with new values introduced in sequential zero-upwards order and exactly one inverted 2x2x2 triangle having values all equal.

0, 0, 0, 0, 0, 8, 0, 0, 14, 216, 0, 0, 15, 2592, 6048, 0, 0, 15, 7308, 896832, 203256, 0, 0, 15, 10368, 12228624, 685305792, 8627472, 0, 0, 15, 11160, 50382432, 64737526428, 1246974564672, 475098048, 0, 0, 15, 11244, 101140812, 1107382932648

Offset

1,6

Comments

Table starts

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

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

......8........14..........15............15............15.............15

....216......2592........7308.........10368.........11160..........11244

...6048....896832....12228624......50382432.....101140812......133557336

.203256.685305792.64737526428.1107382932648.6623245236960.19403620120548

Links

R. H. Hardin, Table of n, a(n) for n = 1..116

Example

Some solutions for n=4 k=4
.....0........0........0........0........0........0........0........0
....1.1......1.0......1.0......1.1......1.1......1.1......1.1......1.2
...0.1.1....1.1.2....1.0.0....2.1.3....0.0.1....2.1.1....2.1.2....1.1.0
..0.1.0.2..3.1.3.4..0.2.0.1..0.0.4.1..1.0.0.1..0.1.0.2..2.1.1.2..1.1.3.0

Crossrefs

Sequence in context: A219241 A257397 A075448 * A347801 A028593 A369380

Adjacent sequences: A271404 A271405 A271406 * A271408 A271409 A271410

Keyword

nonn,tabl

Author

R. H. Hardin, Apr 06 2016

Status

approved