A271194 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 different.

0, 0, 0, 0, 1, 0, 0, 1, 48, 0, 0, 1, 72, 3654, 0, 0, 1, 72, 9168, 546604, 0, 0, 1, 72, 10716, 2507552, 173123868, 0, 0, 1, 72, 10794, 4023409, 1585190304, 120268341210, 0, 0, 1, 72, 10794, 4396148, 3973372776, 2396160624384, 186894023900240, 0, 0, 1, 72

Offset

1,9

Comments

Table starts

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

.0............1.............1..............1..............1..............1

.0...........48............72.............72.............72.............72

.0.........3654..........9168..........10716..........10794..........10794

.0.......546604.......2507552........4023409........4396148........4426829

.0....173123868....1585190304.....3973372776.....5372968836.....5718522642

.0.120268341210.2396160624384.10282778195346.19590379147806.24423371106474

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......0.1......1.0......0.1......1.1......1.1......1.1......1.0
...3.1.1....0.0.2....2.3.3....0.1.0....1.0.2....1.2.2....2.1.3....0.0.2
..0.0.1.4..2.0.2.2..2.2.3.3..2.2.2.1..1.1.0.2..2.1.1.3..2.0.0.1..0.3.1.1

Crossrefs

Sequence in context: A292707 A292967 A023935 * A002834 A057380 A234565

Adjacent sequences: A271191 A271192 A271193 * A271195 A271196 A271197

Keyword

nonn,tabl

Author

R. H. Hardin, Apr 01 2016

Status

approved