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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. 5
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 (list; table; graph; refs; listen; history; text; internal format)
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: A216809 A204274 A283643 * A271517 A200512 A280832

Adjacent sequences:  A271434 A271435 A271436 * A271438 A271439 A271440

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Apr 07 2016

STATUS

approved

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Last modified July 13 04:31 EDT 2020. Contains 335673 sequences. (Running on oeis4.)