A223324 Rolling icosahedron footprints: number of 4Xn 0..11 arrays starting with 0 where 0..11 label vertices of an icosahedron and every array movement to a horizontal or antidiagonal neighbor moves along an icosahedral edge

1728, 78125, 6865625, 603351125, 54279694625, 4903804407125, 443803619416625, 40180564679055125, 3638107937069854625, 329414029399378035125, 29827030198435983748625, 2700711676390250182863125

Offset

1,1

Comments

Row 4 of A223321

Links

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

Formula

Empirical: a(n) = 121*a(n-1) -3029*a(n-2) +25559*a(n-3) -89707*a(n-4) +122263*a(n-5) -12831*a(n-6) -60039*a(n-7) for n>10

Example

Some solutions for n=3
..0..6..0....0..6..0....0..6..0....0..6..0....0..6..0....0..6..0....0..6..0
..0..5..7....0..1..3....0..1..8....0..6.10....0..7.11....0..6..5....0..1..2
..0..5..6....3..8..2....2..1..3....4..9..8...11..7..0....2..0..2....0..6..0
.10..5..0....4..6..2....3..9.11....8..4..6....1..2..0....2..8..1....0..1..3
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

Sequence in context: A017403 A017523 A237490 * A002519 A052068 A289210

Adjacent sequences: A223321 A223322 A223323 * A223325 A223326 A223327

Keyword

nonn

Author

R. H. Hardin Mar 19 2013

Status

approved