login
Rolling icosahedron footprints: number of 6Xn 0..11 arrays starting with 0 where 0..11 label vertices of an icosahedron and every array movement to a horizontal or antidiagonal neighbor moves along an icosahedral edge
1

%I #4 Mar 19 2013 11:37:29

%S 248832,48828125,29007265625,17232311481125,10739266230499625,

%T 6765094542682458125,4288761014162797342625,2725466174591233186641125,

%U 1733931516143286321479437625,1103604638130169667481962994125

%N Rolling icosahedron footprints: number of 6Xn 0..11 arrays starting with 0 where 0..11 label vertices of an icosahedron and every array movement to a horizontal or antidiagonal neighbor moves along an icosahedral edge

%C Row 6 of A223321

%H R. H. Hardin, <a href="/A223326/b223326.txt">Table of n, a(n) for n = 1..89</a>

%e Some solutions for n=3

%e ..0..6..0....0..6..0....0..6..0....0..6..0....0..6..0....0..6..0....0..6..0

%e ..0..6..0....0..6..0....0..6..0....0..6..0....0..6..0....0..6..0....0..6..0

%e ..0..6..0....0..6..0....0..6..0....0..6..0....0..6..0....0..6..0....0..6..0

%e ..0..1..0....0..2..1....0..1..8....0..6..4....0..2..1....0..1..2....0..7.11

%e ..7..1..0....1..0..2....8..3..1....4..2..0....1..8..2....8..4..2....5..7..3

%e ..3..1..0....1..8..2....9..3..8....0..7..3....2..6..2....8..4.10....3..7..0

%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