A271437 T(n,k)=Number of nXnXn triangular 0..k arrays with new values introduced in sequential zero-upwards order and exactly one 2x2x2 triangle having values all equal and exactly one 2x2x2 triangle having values all different.

0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 12, 864, 0, 0, 0, 12, 1503, 41328, 0, 0, 0, 12, 1620, 114696, 2009952, 0, 0, 0, 12, 1629, 148392, 8913024, 116220672, 0, 0, 0, 12, 1629, 153984, 14979216, 847131696, 8608449792, 0, 0, 0, 12, 1629, 154296, 16992846

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..........864...........1503............1620............1629.........1629

.0........41328.........114696..........148392..........153984.......154296

.0......2009952........8913024........14979216........16992846.....17274768

.0....116220672......847131696......1978392960......2653292322...2838637584

.0...8608449792...107419889151....370450049664....639869193777.771905775765

.0.850781715456.19047514016106.102638643985920.247683857110080

Links

R. H. Hardin, Table of n, a(n) for n = 1..99

Example

Some solutions for n=4 k=4
.....0........0........0........0........0........0........0........0
....1.2......1.0......1.2......1.0......1.1......1.2......1.1......1.2
...2.2.1....2.0.2....1.1.2....1.0.0....0.1.2....1.2.0....2.2.2....2.2.3
..1.2.1.3..1.2.2.2..1.2.2.0..1.0.2.3..2.0.1.3..2.2.0.0..0.2.1.3..0.2.3.0

Crossrefs

Sequence in context: A204274 A283643 A360221 * A271517 A200512 A280832

Adjacent sequences: A271434 A271435 A271436 * A271438 A271439 A271440

Keyword

nonn,tabl

Author

R. H. Hardin, Apr 07 2016

Status

approved