A223288 - OEIS

%I #4 Mar 19 2013 08:13:37

%S 64000000,46875,7740273,221142771,22392745881,895927195659,

%T 72981761306721,3419190010701027,246223435310438889,

%U 12650585205686219643,846009017331144444849,45987344869442894841555,2939800653860874208317369

%N Rolling icosahedron face footprints: number of 7Xn 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 7 of A223282

%H R. H. Hardin, <a href="/A223288/b223288.txt">Table of n, a(n) for n = 1..32</a>

%e Some solutions for n=3

%e ..0..5..0....0..5..0....0..5..0....0..5..0....0..5..0....0..5..0....0..5..0

%e ..0..1..0....0..1..0....0..1..0....0..1..0....0..1..0....0..1..0....0..1..0

%e ..4..1..4....4..1..0....6..1..0....0..5..0....0..5..0....0..2..0....6..1..4

%e ..0..1..0....4..1..0....0..1..6....0..5..0....9..5..7....0..2..8....0..1..0

%e ..0..1..0....0..1..0....6..1..6....0..5..0....9..5..7....8..2..8....0..1..4

%e ..0..1..0....0..2..0....4..1..6....7..5..9....0..5..0....8.13..8....0..1..4

%e ..6..1..4....0..2..3....6..1..6....7..5..7....9..5..9...16.13..8....6..1..0

%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