A223328 Rolling cube footprints: number of n X 5 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.

81, 9261, 1059723, 121264857, 13876429707, 1587890407761, 181703507374179, 20792470582897209, 2379298227030964827, 272264906211251105313, 31155480347969275662483, 3565145318286297427548489

Offset

1,1

Comments

Column 5 of A223331.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 117*a(n-1) - 294*a(n-2).

Empirical g.f.: 27*x*(3 - 8*x) / (1 - 117*x + 294*x^2). - Colin Barker, Aug 19 2018

Example

Some solutions for n=3:
..0..2..0..2..6....0..4..6..4..0....0..4..5..7..6....0..4..0..2..3
..0..2..0..2..6....6..2..0..4..0....0..4..6..4..6....6..2..6..2..0
..0..2..6..4..0....0..2..0..1..3....0..2..0..2..0....0..2..3..2..0
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

Cf. A223331.

Sequence in context: A178511 A184337 A034993 * A093281 A059988 A017020

Adjacent sequences: A223325 A223326 A223327 * A223329 A223330 A223331

Keyword

nonn

Author

R. H. Hardin, Mar 19 2013

Status

approved