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A271407 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 equal. 8
0, 0, 0, 0, 0, 8, 0, 0, 14, 216, 0, 0, 15, 2592, 6048, 0, 0, 15, 7308, 896832, 203256, 0, 0, 15, 10368, 12228624, 685305792, 8627472, 0, 0, 15, 11160, 50382432, 64737526428, 1246974564672, 475098048, 0, 0, 15, 11244, 101140812, 1107382932648 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,6

COMMENTS

Table starts

......0.........0...........0.............0.............0..............0

......0.........0...........0.............0.............0..............0

......8........14..........15............15............15.............15

....216......2592........7308.........10368.........11160..........11244

...6048....896832....12228624......50382432.....101140812......133557336

.203256.685305792.64737526428.1107382932648.6623245236960.19403620120548

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..116

EXAMPLE

Some solutions for n=4 k=4

.....0........0........0........0........0........0........0........0

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

...0.1.1....1.1.2....1.0.0....2.1.3....0.0.1....2.1.1....2.1.2....1.1.0

..0.1.0.2..3.1.3.4..0.2.0.1..0.0.4.1..1.0.0.1..0.1.0.2..2.1.1.2..1.1.3.0

CROSSREFS

Sequence in context: A219241 A257397 A075448 * A347801 A028593 A037216

Adjacent sequences:  A271404 A271405 A271406 * A271408 A271409 A271410

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Apr 06 2016

STATUS

approved

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Last modified September 26 20:34 EDT 2021. Contains 347672 sequences. (Running on oeis4.)