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A223287 Rolling icosahedron face footprints: number of 6Xn 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
3200000, 9375, 792087, 15229647, 792881031, 20570223999, 879050854455, 26073158735535, 1008694505830119, 32094483162308319, 1178050642133703831, 38926413103761206799, 1389205962179205980487, 46849778740107421135935 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 6 of A223282

LINKS

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

FORMULA

Empirical: a(n) = 13*a(n-1) +1244*a(n-2) -8256*a(n-3) -402464*a(n-4) +1780288*a(n-5) +55907168*a(n-6) -197740288*a(n-7) -4040907520*a(n-8) +12437493760*a(n-9) +166070886400*a(n-10) -452922138624*a(n-11) -4093663121408*a(n-12) +9761715879936*a(n-13) +62363887337472*a(n-14) -126220206735360*a(n-15) -595038449696768*a(n-16) +978337484767232*a(n-17) +3542610027216896*a(n-18) -4455273209004032*a(n-19) -12803732509032448*a(n-20) +11344509988241408*a(n-21) +26381276122447872*a(n-22) -14571020149063680*a(n-23) -27374953313599488*a(n-24) +7085252929388544*a(n-25) +10449758510383104*a(n-26) for n>27

EXAMPLE

Some solutions for n=3

..0..5..0....0..5..0....0..5..0....0..5..0....0..5..0....0..5..0....0..5..0

..0..5..9....7..5..9....0..5..0....7..5..9....9..5..9....0..5..9....9..5..7

..7..5..0....7..5..7....9..5..9....0..5..7....7..5..0....7..5..0....9..5..7

..0..5..9....0..5..9....9..5..9....9..5..9....9..5..0....9..5..9....7..5..0

..9..5..0....7..5..0....9..8..9....9..5..0....7..5..0....9.14..9....7..5..7

..9..5..9....0..5..9...13..8..2....7..5..9....7..5..7...11.14..9....7..5..0

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: A153750 A234689 A232619 * A223484 A029820 A146976

Adjacent sequences:  A223284 A223285 A223286 * A223288 A223289 A223290

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 19 2013

STATUS

approved

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Last modified December 5 03:03 EST 2021. Contains 349530 sequences. (Running on oeis4.)