A223230 Rolling icosahedron footprints: number of n X 5 0..11 arrays starting with 0 where 0..11 label vertices of an icosahedron and every array movement to a horizontal, diagonal or antidiagonal neighbor moves along an icosahedral edge.

625, 75665, 11043445, 1697263985, 266409703885, 42210625593305, 6716507564288245, 1070788920090847265, 170861214141424879645, 27274345271819338522025, 4354541372254902852256645

Offset

1,1

Comments

Column 5 of A223233.

Links

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

Formula

Empirical: a(n) = 251*a(n-1) -15873*a(n-2) +195175*a(n-3) +2042368*a(n-4) -47798442*a(n-5) +263976930*a(n-6) -451699632*a(n-7) -350892000*a(n-8) +1964608344*a(n-9) -2144659680*a(n-10) +765275040*a(n-11).

Example

Some solutions for n=3
..0..2..4.10..4....0..5..0..2..4....0..6..2..0..1....0..5..6..0..2
..6..2..6.10.11....6..2..6..2..6....0..6..2..8..2....6..2..6..4..6
..1..0..6.10..5....1..0..1..2..0....0..6..2..1..2....6..0..6..2..6
Vertex neighbors:
0 -> 1 2 5 6 7
1 -> 0 2 3 7 8
2 -> 0 1 4 6 8
3 -> 1 7 8 9 11
4 -> 2 6 8 9 10
5 -> 0 6 7 10 11
6 -> 0 2 4 5 10
7 -> 0 1 3 5 11
8 -> 1 2 3 4 9
9 -> 3 4 8 10 11
10 -> 4 5 6 9 11
11 -> 3 5 7 9 10

Crossrefs

Cf. A223233.

Sequence in context: A167039 A265932 A017452 * A017584 A223260 A350430

Adjacent sequences: A223227 A223228 A223229 * A223231 A223232 A223233

Keyword

nonn

Author

R. H. Hardin Mar 18 2013

Status

approved