A223354 - OEIS

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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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Column 5 of A223357.

LINKS

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

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

EXAMPLE

Some solutions for n=3: