%I #4 Mar 19 2013 06:28:46
%S 125,10985,988625,89405945,8093320565,732779276465,66349405785905,
%T 6007647236699705,543966961228880285,49253916167787710105,
%U 4459734862897444858625,403810232078942017132025
%N Rolling icosahedron footprints: number of nX4 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 4 of A223263
%H R. H. Hardin, <a href="/A223259/b223259.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 118*a(n-1) -2675*a(n-2) +17534*a(n-3) -37105*a(n-4) +10948*a(n-5) +20013*a(n-6)
%e Some solutions for n=3
%e ..0..6.10..6....0..6.10..6....0..6.10..9....0..6..4..2....0..6..0..2
%e ..6..0..6..5....6..0..6..4....6.10..6..4....6..2..8..4....6..0..6..4
%e .10..6..5.11....4..6..2..6...10..6..4..8....4..8..4..6...10..6..5.10
%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