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A223238 Rolling icosahedron footprints: number of 6Xn 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 A223238 #6 Jul 23 2025 03:54:29
%S A223238 248832,1856465,842416625,146259564725,42210625593305,
%T A223238 9343721361109325,2410480042269361205,569856683384487837845,
%U A223238 141861478546517230929185,34264186727962091778301265,8425769874595179617059603645
%N A223238 Rolling icosahedron footprints: number of 6Xn 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 A223238 Row 6 of A223233
%H A223238 R. H. Hardin, <a href="/A223238/b223238.txt">Table of n, a(n) for n = 1..36</a>
%e A223238 Some solutions for n=3
%e A223238 ..0..6..0....0..6..0....0..6..0....0..6..0....0..6..0....0..6..0....0..6..0
%e A223238 ..0..6..0....0..6..0....0..6..0....0..6..0....0..6..0....0..6..0....0..6..0
%e A223238 ..2..6..0....0..6..0....0..6..0....0..6..0....2..6..0....4..6..0....2..6..0
%e A223238 ..0..6.10....0..7..5....0..5.10....2..1..0....4..6..4....4..2..0....0..6..2
%e A223238 .10..6.10....0..6..0...11..5.11....8..1..0....4..6..5....8..2..6....4..6..5
%e A223238 .10..4..2....0..7..0...11..5..6....8..1..0....5..6.10....1..2..1....4..6.10
%e A223238 Vertex neighbors:
%e A223238 0 -> 1 2 5 6 7
%e A223238 1 -> 0 2 3 7 8
%e A223238 2 -> 0 1 4 6 8
%e A223238 3 -> 1 7 8 9 11
%e A223238 4 -> 2 6 8 9 10
%e A223238 5 -> 0 6 7 10 11
%e A223238 6 -> 0 2 4 5 10
%e A223238 7 -> 0 1 3 5 11
%e A223238 8 -> 1 2 3 4 9
%e A223238 9 -> 3 4 8 10 11
%e A223238 10 -> 4 5 6 9 11
%e A223238 11 -> 3 5 7 9 10
%K A223238 nonn
%O A223238 1,1
%A A223238 _R. H. Hardin_ Mar 18 2013