A217245 T(n,k)=Number of triangular nXnXn arrays of occupancy after each element moves to some neighbor and with no occupancy greater than k.

0, 0, 1, 0, 7, 1, 0, 7, 95, 1, 0, 7, 161, 6437, 1, 0, 7, 182, 17957, 1175140, 1, 0, 7, 182, 22484, 6839199, 660602643, 1, 0, 7, 182, 22694, 10146841, 9594137076

Offset

1,5

Comments

Table starts

.0.........0..........0........0.....0...0.0.0

.1.........7..........7........7.....7...7.7

.1........95........161......182...182.182

.1......6437......17957....22484.22694

.1...1175140....6839199.10146841

.1.660602643.9594137076

Links

Table of n, a(n) for n=1..34.

Example

Some solutions for n=4 k=3
.....1........2........0........1........0........2........0........1
....2.0......1.0......3.1......0.2......2.0......1.2......0.2......1.1
...2.1.0....1.0.3....1.1.0....0.0.2....0.2.2....0.0.0....1.2.1....3.0.3
..1.2.1.0..1.1.1.0..1.1.1.1..2.3.0.0..1.3.0.0..2.2.1.0..0.3.1.0..1.0.0.0

Crossrefs

Sequence in context: A298853 A351213 A198212 * A154098 A324007 A176442

Adjacent sequences: A217242 A217243 A217244 * A217246 A217247 A217248

Keyword

nonn,tabl,hard,more

Author

R. H. Hardin, Sep 28 2012

Status

approved