A223356 Rolling cube footprints: number of nX7 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

4096, 15925248, 64399343616, 262687716016128, 1073434373061083136, 4387933871654786039808, 17937911731045128424390656, 73331159360640809507160588288, 299782360886263133728989486514176

Offset

1,1

Comments

Column 7 of A223357

Links

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

Formula

Empirical: a(n) = 5376*a(n-1) -5750784*a(n-2) +2038431744*a(n-3) -217432719360*a(n-4)

Example

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

Crossrefs

Sequence in context: A222103 A017442 A223201 * A017574 A016752 A223880

Adjacent sequences: A223353 A223354 A223355 * A223357 A223358 A223359

Keyword

nonn

Author

R. H. Hardin Mar 19 2013

Status

approved