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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 (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............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

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

....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 * A022075 A178986 A174730

Adjacent sequences:  A271138 A271139 A271140 * A271142 A271143 A271144

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Mar 31 2016

STATUS

approved

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Last modified September 21 15:47 EDT 2021. Contains 347598 sequences. (Running on oeis4.)