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%I #7 Apr 11 2022 12:20:54
%S 1,20,400,14560,1018720,141047120,39288329040,22231433842560,
%T 25710310945249680,61010814457361940400
%N Rolling icosahedron footprints: number of n X n 0..11 arrays starting with 0 where 0..11 label vertices of an icosahedron and every array movement to a horizontal, vertical or antidiagonal neighbor moves along an icosahedral edge.
%C Diagonal of A223186.
%e Some solutions for n=3
%e ..0..7..1....0..5..7....0..1..7....0..1..7....0..2..6....0..7..1....0..7.11
%e ..5..0..7....7..0..1....7..3.11....7..3..1....6..4..2....5..0..7....1..3..7
%e ..7..1..3....1..7..3...11..7..5....1..8..3....2..6..4....7..5.11....7..1..0
%e Vertex neighbors:
%e 0 -> 1 2 5 6 7
%e 1 -> 0 2 3 7 8
%e 2 -> 0 1 4 6 8
%e 3 -> 1 7 8 9 11
%e 4 -> 2 6 8 9 10
%e 5 -> 0 6 7 10 11
%e 6 -> 0 2 4 5 10
%e 7 -> 0 1 3 5 11
%e 8 -> 1 2 3 4 9
%e 9 -> 3 4 8 10 11
%e 10 -> 4 5 6 9 11
%e 11 -> 3 5 7 9 10
%Y Cf. A223186.
%K nonn
%O 1,2
%A _R. H. Hardin_, Mar 18 2013
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