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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. 7
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified August 10 14:50 EDT 2020. Contains 336381 sequences. (Running on oeis4.)