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A223261 Rolling icosahedron footprints: number of nX6 0..11 arrays starting with 0 where 0..11 label vertices of an icosahedron and every array movement to a horizontal or vertical neighbor moves along an icosahedral edge 1

%I #6 Mar 19 2013 06:36:19

%S 3125,1856465,1158447605,732779276465,465517850602985,

%T 296154779530302005,188499365751451987865,119997379439689408859465,

%U 76393715103357920822289245,48635305603930120643861903885

%N Rolling icosahedron footprints: number of nX6 0..11 arrays starting with 0 where 0..11 label vertices of an icosahedron and every array movement to a horizontal or vertical neighbor moves along an icosahedral edge

%C Column 6 of A223263

%H R. H. Hardin, <a href="/A223261/b223261.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3:

%e ..0..6..2..8..4..2....0..6..2..6..2..6....0..6..0..6.10..5....0..6..4..6..0..1

%e ..6..0..6..4..2..4....6..0..6..0..1..2....6..0..6..5..6.10....6..0..6.10..6..2

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

%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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 19 2013

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