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%I #4 Mar 19 2013 06:29:32
%S 625,142805,33841585,8093320565,1940359745365,465517850602985,
%T 111705181963446505,26806081975380034085,6432795830442479345605,
%U 1543718023483872661465145,370456037456786500763572945
%N Rolling icosahedron footprints: number of nX5 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 5 of A223263
%H R. H. Hardin, <a href="/A223260/b223260.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 370*a(n-1) -36788*a(n-2) +1437857*a(n-3) -23645436*a(n-4) +44066638*a(n-5) +4152418604*a(n-6) -63940525346*a(n-7) +398765153937*a(n-8) -664612370820*a(n-9) -5099885524914*a(n-10) +28863389079161*a(n-11) -33790027717185*a(n-12) -116946512376714*a(n-13) +358006866555853*a(n-14) -172436681167814*a(n-15) -370765534337711*a(n-16) +342597755828578*a(n-17) +68864786255753*a(n-18) -118288709865366*a(n-19) +21489625020240*a(n-20)
%e Some solutions for n=3
%e ..0..7..0..2..0....0..1..8..2..0....0..6..0..1..7....0..6..4..9.10
%e ..6..0..5..0..7....6..0..2..1..2....6..0..5..7..5....6..0..2..8..4
%e ..0..6..0..5.11....0..6..4..8..1....0..6.10..5.10....0..6..4..9.10
%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
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