A271339 T(n,k)=Number of nXnXn triangular 0..k arrays with new values introduced in sequential zero-upwards order and exactly one upright 2x2x2 triangle having values all equal.

0, 0, 1, 0, 1, 15, 0, 1, 33, 207, 0, 1, 36, 3798, 3283, 0, 1, 36, 12195, 960152, 64650, 0, 1, 36, 18054, 15971570, 577747260, 1640007, 0, 1, 36, 19620, 71737645, 71014748334, 859484671068, 54704700, 0, 1, 36, 19788, 150055420, 1362466441524

Offset

1,6

Comments

Table starts

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

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

......15...........33...............36.................36..................36

.....207.........3798............12195..............18054...............19620

....3283.......960152.........15971570...........71737645...........150055420

...64650....577747260......71014748334......1362466441524.......8655860751612

.1640007.859484671068.1103274718331139.116575962939900339.2853581910745313142

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
....0.0......1.2......0.0......0.1......1.2......1.2......1.0......1.2
...1.1.1....1.1.1....0.1.1....1.2.0....1.1.3....0.2.2....0.1.2....1.2.2
..2.3.4.3..2.0.2.2..2.1.0.0..3.2.2.0..2.4.0.3..2.3.3.0..0.0.1.2..0.0.3.2

Crossrefs

Sequence in context: A106239 A271763 A362267 * A202857 A055965 A067154

Adjacent sequences: A271336 A271337 A271338 * A271340 A271341 A271342

Keyword

nonn,tabl

Author

R. H. Hardin, Apr 04 2016

Status

approved