A223286 - OEIS

%I #4 Mar 19 2013 08:12:04

%S 160000,1875,81057,1048923,28271577,473368227,10801441521,

%T 200475062187,4265203621833,82829709506163,1709099202398433,

%U 33866115603026427,689396112362771001,13783610690189186115,278907343566603743697

%N 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

%C Row 5 of A223282

%H R. H. Hardin, <a href="/A223286/b223286.txt">Table of n, a(n) for n = 1..210</a>

%F 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

%e Some solutions for n=3

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

%e ..4..1..0....0..5..0....0..2..0....0..5..0....0..1..0....0..2..8....4..1..4

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

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

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

%e Face neighbors:

%e 0 -> 1 2 5

%e 1 -> 0 4 6

%e 2 -> 0 3 8

%e 3 -> 2 4 16

%e 4 -> 3 1 17

%e 5 -> 0 7 9

%e 6 -> 1 7 10

%e 7 -> 6 5 11

%e 8 -> 2 9 13

%e 9 -> 8 5 14

%e 10 -> 6 12 17

%e 11 -> 7 12 14

%e 12 -> 11 10 19

%e 13 -> 8 15 16

%e 14 -> 9 11 15

%e 15 -> 14 13 19

%e 16 -> 3 13 18

%e 17 -> 4 10 18

%e 18 -> 16 17 19

%e 19 -> 15 18 12

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 19 2013