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A271141
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 different.
5
0, 0, 0, 0, 1, 0, 0, 1, 44, 0, 0, 1, 56, 2529, 0, 0, 1, 56, 4560, 239700, 0, 0, 1, 56, 4890, 625280, 41288768, 0, 0, 1, 56, 4899, 778256, 158875520, 13536514992, 0, 0, 1, 56, 4899, 797680, 245558565, 78509767680, 8663986363705, 0, 0, 1, 56, 4899, 798370
OFFSET
1,9
COMMENTS
Table starts
.0.............0..............0...............0...............0...............0
.0.............1..............1...............1...............1...............1
.0............44.............56..............56..............56..............56
.0..........2529...........4560............4890............4899............4899
.0........239700.........625280..........778256..........797680..........798370
.0......41288768......158875520.......245558565.......269282132.......271950103
.0...13536514992....78509767680....158940847866....197805084468....206442174684
.0.8663986363705.77552409009664.214449879142050.321887622195271.362418477051236
LINKS
EXAMPLE
Some solutions for n=4 k=4
.....0........0........0........0........0........0........0........0
....0.1......1.1......1.0......1.1......0.0......0.0......1.1......1.2
...1.1.0....1.2.2....2.1.1....0.0.1....1.1.2....1.2.0....1.1.2....2.2.3
..0.1.2.0..1.1.1.0..3.1.0.0..0.2.1.0..2.2.2.1..2.2.0.1..1.0.2.3..2.3.3.3
CROSSREFS
Sequence in context: A050525 A138086 A023933 * A350718 A022075 A178986
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Mar 31 2016
STATUS
approved