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A223237 Rolling icosahedron footprints: number of 5Xn 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 A223237 #6 Jul 23 2025 03:54:22
%S A223237 20736,142805,26157625,2191464605,266409703885,27049155640325,
%T A223237 3010781803380625,319668431152592585,34788800528856366205,
%U A223237 3737470592349481922045,404261376372354175571785
%N A223237 Rolling icosahedron footprints: number of 5Xn 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 A223237 Row 5 of A223233
%H A223237 R. H. Hardin, <a href="/A223237/b223237.txt">Table of n, a(n) for n = 1..210</a>
%e A223237 Some solutions for n=3
%e A223237 ..0..6..0....0..6..0....0..6..0....0..6..0....0..6..0....0..6..0....0..6..0
%e A223237 ..0..6..0...10..6..0....4..6..0....0..6..0....4..6..0....0..6..0....4..6..0
%e A223237 ..0..2..0....0..6..2....5..6..0....0..5.10...10..6..2....0..7..5....0..6..4
%e A223237 ..0..5..0...10..6..4....0..7..5....0..5..6....5..6..4....0..6..5....4..2..0
%e A223237 ..6..5..6...10..6..5....0..7.11....0..5.10....0..6..5....2..6..4....0..2..8
%e A223237 Vertex neighbors:
%e A223237 0 -> 1 2 5 6 7
%e A223237 1 -> 0 2 3 7 8
%e A223237 2 -> 0 1 4 6 8
%e A223237 3 -> 1 7 8 9 11
%e A223237 4 -> 2 6 8 9 10
%e A223237 5 -> 0 6 7 10 11
%e A223237 6 -> 0 2 4 5 10
%e A223237 7 -> 0 1 3 5 11
%e A223237 8 -> 1 2 3 4 9
%e A223237 9 -> 3 4 8 10 11
%e A223237 10 -> 4 5 6 9 11
%e A223237 11 -> 3 5 7 9 10
%K A223237 nonn
%O A223237 1,1
%A A223237 _R. H. Hardin_ Mar 18 2013