A223260 Rolling icosahedron footprints: number of nX5 0..11 arrays starting with 0 where 0..11 label vertices of an icosahedron and every array movement to a horizontal or vertical neighbor moves along an icosahedral edge

625, 142805, 33841585, 8093320565, 1940359745365, 465517850602985, 111705181963446505, 26806081975380034085, 6432795830442479345605, 1543718023483872661465145, 370456037456786500763572945

Offset

1,1

Comments

Column 5 of A223263

Links

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

Formula

Empirical: a(n) = 370*a(n-1) -36788*a(n-2) +1437857*a(n-3) -23645436*a(n-4) +44066638*a(n-5) +4152418604*a(n-6) -63940525346*a(n-7) +398765153937*a(n-8) -664612370820*a(n-9) -5099885524914*a(n-10) +28863389079161*a(n-11) -33790027717185*a(n-12) -116946512376714*a(n-13) +358006866555853*a(n-14) -172436681167814*a(n-15) -370765534337711*a(n-16) +342597755828578*a(n-17) +68864786255753*a(n-18) -118288709865366*a(n-19) +21489625020240*a(n-20)

Example

Some solutions for n=3
..0..7..0..2..0....0..1..8..2..0....0..6..0..1..7....0..6..4..9.10
..6..0..5..0..7....6..0..2..1..2....6..0..5..7..5....6..0..2..8..4
..0..6..0..5.11....0..6..4..8..1....0..6.10..5.10....0..6..4..9.10
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: A017452 A223230 A017584 * A350430 A187456 A223318

Adjacent sequences: A223257 A223258 A223259 * A223261 A223262 A223263

Keyword

nonn

Author

R. H. Hardin Mar 19 2013

Status

approved