A223354 Rolling cube footprints: number of n X 5 0..5 arrays starting with 0 where 0..5 label faces of a cube and every array movement to a horizontal or antidiagonal neighbor moves across a corresponding cube edge.

256, 110592, 48365568, 21177040896, 9273505480704, 4060947412942848, 1778325505192230912, 778744859776908263424, 341019436981212766273536, 149335504495574154699866112, 65395371895437880547981918208

Offset: 1

Author

R. H. Hardin, Mar 19 2013

Keywords

• nonn

Comments

Column 5 of A223357.

Examples

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

Links

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

Crossrefs

Cf. A223357.

Formula

Empirical: a(n) = 480*a(n-1) - 18432*a(n-2).

Empirical g.f.: 256*x*(1 - 48*x) / (1 - 480*x + 18432*x^2). - Colin Barker, Aug 19 2018