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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. 1
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:

  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

CROSSREFS

Cf. A223357.

Sequence in context: A223199 A207295 A205927 * A236941 A222141 A333585

Adjacent sequences:  A223351 A223352 A223353 * A223355 A223356 A223357

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 19 2013

STATUS

approved

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Last modified August 12 12:05 EDT 2022. Contains 356072 sequences. (Running on oeis4.)