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A223259 Rolling icosahedron footprints: number of nX4 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
125, 10985, 988625, 89405945, 8093320565, 732779276465, 66349405785905, 6007647236699705, 543966961228880285, 49253916167787710105, 4459734862897444858625, 403810232078942017132025 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A223263

LINKS

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

FORMULA

Empirical: a(n) = 118*a(n-1) -2675*a(n-2) +17534*a(n-3) -37105*a(n-4) +10948*a(n-5) +20013*a(n-6)

EXAMPLE

Some solutions for n=3

..0..6.10..6....0..6.10..6....0..6.10..9....0..6..4..2....0..6..0..2

..6..0..6..5....6..0..6..4....6.10..6..4....6..2..8..4....6..0..6..4

.10..6..5.11....4..6..2..6...10..6..4..8....4..8..4..6...10..6..5.10

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: A223229 A030695 A317981 * A347510 A275296 A259925

Adjacent sequences:  A223256 A223257 A223258 * A223260 A223261 A223262

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 19 2013

STATUS

approved

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Last modified December 5 08:36 EST 2021. Contains 349543 sequences. (Running on oeis4.)