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A223230 Rolling icosahedron footprints: number of n X 5 0..11 arrays starting with 0 where 0..11 label vertices of an icosahedron and every array movement to a horizontal, diagonal or antidiagonal neighbor moves along an icosahedral edge.

%I A223230 #6 May 20 2021 12:47:06
%S A223230 625,75665,11043445,1697263985,266409703885,42210625593305,
%T A223230 6716507564288245,1070788920090847265,170861214141424879645,
%U A223230 27274345271819338522025,4354541372254902852256645
%N A223230 Rolling icosahedron footprints: number of n X 5 0..11 arrays starting with 0 where 0..11 label vertices of an icosahedron and every array movement to a horizontal, diagonal or antidiagonal neighbor moves along an icosahedral edge.
%C A223230 Column 5 of A223233.
%H A223230 R. H. Hardin, <a href="/A223230/b223230.txt">Table of n, a(n) for n = 1..210</a>
%F A223230 Empirical: a(n) = 251*a(n-1) -15873*a(n-2) +195175*a(n-3) +2042368*a(n-4) -47798442*a(n-5) +263976930*a(n-6) -451699632*a(n-7) -350892000*a(n-8) +1964608344*a(n-9) -2144659680*a(n-10) +765275040*a(n-11).
%e A223230 Some solutions for n=3
%e A223230 ..0..2..4.10..4....0..5..0..2..4....0..6..2..0..1....0..5..6..0..2
%e A223230 ..6..2..6.10.11....6..2..6..2..6....0..6..2..8..2....6..2..6..4..6
%e A223230 ..1..0..6.10..5....1..0..1..2..0....0..6..2..1..2....6..0..6..2..6
%e A223230 Vertex neighbors:
%e A223230 0 -> 1 2 5 6 7
%e A223230 1 -> 0 2 3 7 8
%e A223230 2 -> 0 1 4 6 8
%e A223230 3 -> 1 7 8 9 11
%e A223230 4 -> 2 6 8 9 10
%e A223230 5 -> 0 6 7 10 11
%e A223230 6 -> 0 2 4 5 10
%e A223230 7 -> 0 1 3 5 11
%e A223230 8 -> 1 2 3 4 9
%e A223230 9 -> 3 4 8 10 11
%e A223230 10 -> 4 5 6 9 11
%e A223230 11 -> 3 5 7 9 10
%Y A223230 Cf. A223233.
%K A223230 nonn
%O A223230 1,1
%A A223230 _R. H. Hardin_ Mar 18 2013