A223268 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, diagonal or antidiagonal neighbor moves across a corresponding cube edge

4096, 8060928, 19084083200, 47175115472896, 118579442837618688, 300099634959879241728, 761838097494483172065280, 1936846409617575899985608704, 4927624374993058505713514446848

Offset

1,1

Comments

Column 7 of A223269

Links

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

Formula

Empirical: a(n) = 5248*a(n-1) -8994816*a(n-2) +5490343936*a(n-3) +187904819200*a(n-4) -1264610170634240*a(n-5) +256551247132229632*a(n-6) +70752113095943913472*a(n-7) -23366404249055043518464*a(n-8) -533913337097412407197696*a(n-9) +674953674297109781457928192*a(n-10) -40751378221934631192876810240*a(n-11) -5757910579286783501424165650432*a(n-12) +721053031162241165678293693759488*a(n-13) -13066308561852474555927268289413120*a(n-14) -1348009507077897319716382214971195392*a(n-15) +58039494284702303231713887968022233088*a(n-16) -3987683987354747618711421180841033728*a(n-17) -29604565922121646321313590846563834396672*a(n-18) +348449143727040986586495598010130648530944*a(n-19)

Example

Some solutions for n=3
..0..3..0..3..0..2..0....0..3..0..3..4..3..4....0..3..0..3..1..2..4
..0..3..0..3..5..4..5....0..3..0..3..5..2..5....0..3..0..3..0..2..5
..0..3..0..4..5..4..2....0..3..0..1..0..2..1....0..3..0..3..1..2..1
Face neighbors:
0.->.1.2.3.4
1.->.0.2.3.5
2.->.0.1.4.5
3.->.0.1.4.5
4.->.0.3.2.5
5.->.1.3.4.2

Crossrefs

Sequence in context: A221093 A017214 A017322 * A222103 A017442 A223201

Adjacent sequences: A223265 A223266 A223267 * A223269 A223270 A223271

Keyword

nonn

Author

R. H. Hardin Mar 19 2013

Status

approved