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A223330
Rolling cube footprints: number of nX7 0..7 arrays starting with 0 where 0..7 label vertices of a cube and every array movement to a horizontal or antidiagonal neighbor moves along a corresponding cube edge
1
729, 453789, 283231809, 176834343105, 110409049892673, 68935627430614161, 43041050285035823937, 26873361387913413198609, 16778808787792177773698625, 10476115000476214621652175825, 6540928315682905702406399281857
OFFSET
1,1
COMMENTS
Column 7 of A223331
LINKS
FORMULA
Empirical: a(n) = 692*a(n-1) -43569*a(n-2) +847042*a(n-3) -6303164*a(n-4) +15731352*a(n-5)
EXAMPLE
Some solutions for n=3
..0..4..0..4..5..4..5....0..4..0..4..6..7..3....0..4..0..4..0..4..0
..0..4..0..1..5..1..3....0..4..0..2..3..1..5....0..4..0..4..6..2..0
..0..4..5..4..5..1..5....0..4..6..7..5..7..6....0..4..6..2..6..2..0
Vertex neighbors:
0 -> 1 2 4
1 -> 0 3 5
2 -> 0 3 6
3 -> 1 2 7
4 -> 0 5 6
5 -> 1 4 7
6 -> 2 4 7
7 -> 3 5 6
CROSSREFS
Sequence in context: A016890 A223555 A222443 * A228976 A016950 A223793
KEYWORD
nonn
AUTHOR
R. H. Hardin Mar 19 2013
STATUS
approved