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.

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

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