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.

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

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