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A223286 Rolling icosahedron face footprints: number of 5Xn 0..19 arrays starting with 0 where 0..19 label faces of an icosahedron and every array movement to a horizontal, diagonal or antidiagonal neighbor moves across an icosahedral edge 1
160000, 1875, 81057, 1048923, 28271577, 473368227, 10801441521, 200475062187, 4265203621833, 82829709506163, 1709099202398433, 33866115603026427, 689396112362771001, 13783610690189186115, 278907343566603743697 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 5 of A223282

LINKS

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

FORMULA

Empirical: a(n) = 13*a(n-1) +278*a(n-2) -2372*a(n-3) -11584*a(n-4) +98256*a(n-5) +68096*a(n-6) -1208064*a(n-7) +753664*a(n-8) +4509696*a(n-9) -4485120*a(n-10) -4571136*a(n-11) +4718592*a(n-12) for n>13

EXAMPLE

Some solutions for n=3

..0..1..4....0..2..0....0..2..8....0..5..9....0..5..0....0..2..3....0..1..6

..4..1..0....0..5..0....0..2..0....0..5..0....0..1..0....0..2..8....4..1..4

..6..1..6....9..5..9....3..2..0....0..1..0....6..1..0....8..2..3....4..1..6

..6..7..6....9..8..9....8..2..3....4..1..0....0..1..4....3..2..3....6..1..4

.11..7.11...13..8..2....8..2..3....0..1..6....4..1..6....3..4..3....6..1..4

Face neighbors:

0 -> 1 2 5

1 -> 0 4 6

2 -> 0 3 8

3 -> 2 4 16

4 -> 3 1 17

5 -> 0 7 9

6 -> 1 7 10

7 -> 6 5 11

8 -> 2 9 13

9 -> 8 5 14

10 -> 6 12 17

11 -> 7 12 14

12 -> 11 10 19

13 -> 8 15 16

14 -> 9 11 15

15 -> 14 13 19

16 -> 3 13 18

17 -> 4 10 18

18 -> 16 17 19

19 -> 15 18 12

CROSSREFS

Sequence in context: A034210 A034212 A268910 * A223483 A202936 A251971

Adjacent sequences:  A223283 A223284 A223285 * A223287 A223288 A223289

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 19 2013

STATUS

approved

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Last modified August 13 12:57 EDT 2022. Contains 356091 sequences. (Running on oeis4.)