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Rolling icosahedron footprints: number of nX7 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 06:35:01

%S 15625,24134045,39655444525,66349405785905,111705181963446505,

%T 188499365751451987865,318367455270147525993445,

%U 537892337767667036882186525,908907301291035542721838482085

%N Rolling icosahedron footprints: number of nX7 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 7 of A223263

%H R. H. Hardin, <a href="/A223262/b223262.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

%e ..0..6..0..6..0..2..1....0..6..0..6..5.11..7....0..6..0..6..0..2..1

%e ..6..0..6..0..2..1..8....6..0..6..0..7..5..0....6..0..6..0..7..0..2

%e ..0..6..0..1..0..2..4....0..6..0..6..5..0..7....0..6..0..1..0..1..8

%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