A223280 Rolling icosahedron face footprints: number of nX6 0..19 arrays starting with 0 where 0..19 label faces of an icosahedron and every array movement to a horizontal, diagonal or antidiagonal neighbor moves across an icosahedral edge

243, 6831, 261819, 10979127, 473368227, 20570223999, 895927195659, 39047604482055, 1702160040384051, 74204651599582287, 3234961829070975771, 141029297731894387287, 6148230806876335875267, 268034791871130540563487

Offset

1,1

Comments

Column 6 of A223282

Links

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

Formula

Empirical: a(n) = 63*a(n-1) -882*a(n-2) +792*a(n-3) +35736*a(n-4) -70768*a(n-5) -246208*a(n-6) +327936*a(n-7) +146432*a(n-8) -180224*a(n-9)

Example

Some solutions for n=3
..0..2..3..2..3..2....0..5..0..1..0..1....0..5..0..5..0..5....0..2..0..1..4..1
..0..2..8..2..8..2....0..5..0..2..0..2....0..5..0..2..0..1....0..2..0..1..0..1
..8..2..0..2..8.13....0..5..0..2..3..2....7..5..0..2..0..5....0..1..0..1..6..1
Face neighbors:
0 -> 1 2 5
1 -> 0 4 6
2 -> 0 3 8
3 -> 2 4 16
4 -> 3 1 17
5 -> 0 7 9
6 -> 1 7 10
7 -> 6 5 11
8 -> 2 9 13
9 -> 8 5 14
10 -> 6 12 17
11 -> 7 12 14
12 -> 11 10 19
13 -> 8 15 16
14 -> 9 11 15
15 -> 14 13 19
16 -> 3 13 18
17 -> 4 10 18
18 -> 16 17 19
19 -> 15 18 12

Crossrefs

Sequence in context: A232027 A183808 A231913 * A224356 A016769 A224015

Adjacent sequences: A223277 A223278 A223279 * A223281 A223282 A223283

Keyword

nonn

Author

R. H. Hardin Mar 19 2013

Status

approved