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A271075 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 equal. 7
0, 0, 1, 0, 1, 13, 0, 1, 31, 138, 0, 1, 35, 3192, 1628, 0, 1, 35, 11652, 688912, 23527, 0, 1, 35, 18378, 14051884, 336562064, 435147, 0, 1, 35, 20376, 71196476, 55113279071, 385875000312, 10546164, 0, 1, 35, 20610, 160121387, 1251600190741 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,6

COMMENTS

Table starts

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

......1............1...............1.................1...................1

.....13...........31..............35................35..................35

....138.........3192...........11652.............18378...............20376

...1628.......688912........14051884..........71196476...........160121387

..23527....336562064.....55113279071.....1251600190741.......8865338916430

.435147.385875000312.726372812550936.95988631214140725.2712237121380964731

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..86

EXAMPLE

Some solutions for n=4 k=4

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

....1.0......1.2......1.0......1.1......1.2......1.2......0.0......1.1

...2.0.1....2.1.3....2.1.0....2.3.4....0.2.0....1.2.2....0.1.2....0.1.2

..0.1.1.1..2.2.0.1..2.1.1.3..2.2.4.1..2.2.0.0..3.1.4.1..3.4.0.1..0.3.1.2

CROSSREFS

Sequence in context: A255288 A221341 A221106 * A345191 A073867 A114782

Adjacent sequences:  A271072 A271073 A271074 * A271076 A271077 A271078

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Mar 29 2016

STATUS

approved

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Last modified August 11 00:55 EDT 2022. Contains 356046 sequences. (Running on oeis4.)