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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 1
625, 142805, 33841585, 8093320565, 1940359745365, 465517850602985, 111705181963446505, 26806081975380034085, 6432795830442479345605, 1543718023483872661465145, 370456037456786500763572945 (list; graph; refs; listen; history; text; internal format)
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 * A187456 A223318 A222278

Adjacent sequences:  A223257 A223258 A223259 * A223261 A223262 A223263

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 19 2013

STATUS

approved

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Last modified October 18 11:19 EDT 2021. Contains 348067 sequences. (Running on oeis4.)