A223327 Rolling cube footprints: number of n X n 0..7 arrays starting with 0 where 0..7 label vertices of a cube and every array movement to a horizontal or antidiagonal neighbor moves along a corresponding cube edge

1, 27, 3969, 3176523, 13876429707, 330815891296611, 43041050285035823937, 30560274879452174084575347, 118414345277803156878479453881947, 2503923842303442402830521022775619070739

Offset

1,2

Comments

Diagonal of A223331

Links

R. H. Hardin, Table of n, a(n) for n = 1..13

Example

Some solutions for n=3
..0..1..3....0..1..5....0..4..5....0..1..0....0..1..5....0..1..0....0..2..3
..0..2..6....5..1..5....0..4..5....5..4..6....5..4..0....0..1..5....3..1..3
..6..4..5....3..7..3....6..4..5....0..2..6....6..4..6....0..1..5....0..1..3
Vertex neighbors:
0 -> 1 2 4
1 -> 0 3 5
2 -> 0 3 6
3 -> 1 2 7
4 -> 0 5 6
5 -> 1 4 7
6 -> 2 4 7
7 -> 3 5 6

Crossrefs

Sequence in context: A238698 A230169 A271240 * A211927 A298595 A278686

Adjacent sequences: A223324 A223325 A223326 * A223328 A223329 A223330

Keyword

nonn

Author

R. H. Hardin Mar 19 2013

Status

approved