A223232 - OEIS

%I #4 Mar 18 2013 20:32:33

%S 15625,7540985,5127809545,3843057179285,3010781803380625,

%T 2410480042269361205,1952463524081506924645,1591754706579747811787945,

%U 1302463364554005567144837065,1067991482533134242042535939665

%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, diagonal or antidiagonal neighbor moves along an icosahedral edge

%C Column 7 of A223233

%H R. H. Hardin, <a href="/A223232/b223232.txt">Table of n, a(n) for n = 1..110</a>

%e Some solutions for n=3

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

%e ..0..6..0..6..0..7..0....0..6..0..6..0..6..2....0..6..0..6..2..8..3

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

%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 18 2013