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A271246 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 different. 7
0, 0, 0, 0, 0, 0, 0, 0, 27, 0, 0, 0, 64, 3969, 0, 0, 0, 76, 19200, 900963, 0, 0, 0, 77, 33672, 9523200, 401227533, 0, 0, 0, 77, 38571, 28240419, 10151116800, 378139318893, 0, 0, 0, 77, 39210, 43105569, 56147799704, 24976569139200, 781827640754454, 0, 0, 0, 77 (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............0

.0........27..........64..........76...........77...........77...........77

.0......3969.......19200.......33672........38571........39210........39237

.0....900963.....9523200....28240419.....43105569.....48347502.....49235880

.0.401227533.10151116800.56147799704.131856310191.187829420863.209021374705

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......1.2......1.0......1.1......1.1......1.2......1.0......1.2

...2.1.0....1.1.3....1.0.1....0.2.0....2.2.3....1.2.0....2.0.3....1.1.3

..1.1.2.1..0.1.0.0..2.1.3.3..3.3.0.0..1.3.0.2..1.1.3.4..0.2.1.0..3.3.4.1

CROSSREFS

Sequence in context: A112946 A034246 A145336 * A005084 A050454 A277042

Adjacent sequences:  A271243 A271244 A271245 * A271247 A271248 A271249

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Apr 02 2016

STATUS

approved

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Last modified September 21 04:10 EDT 2021. Contains 347596 sequences. (Running on oeis4.)