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A223238 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, diagonal or antidiagonal neighbor moves along an icosahedral edge 1

%I #4 Mar 18 2013 20:38:22

%S 248832,1856465,842416625,146259564725,42210625593305,

%T 9343721361109325,2410480042269361205,569856683384487837845,

%U 141861478546517230929185,34264186727962091778301265,8425769874595179617059603645

%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, diagonal or antidiagonal neighbor moves along an icosahedral edge

%C Row 6 of A223233

%H R. H. Hardin, <a href="/A223238/b223238.txt">Table of n, a(n) for n = 1..36</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 ..2..6..0....0..6..0....0..6..0....0..6..0....2..6..0....4..6..0....2..6..0

%e ..0..6.10....0..7..5....0..5.10....2..1..0....4..6..4....4..2..0....0..6..2

%e .10..6.10....0..6..0...11..5.11....8..1..0....4..6..5....8..2..6....4..6..5

%e .10..4..2....0..7..0...11..5..6....8..1..0....5..6.10....1..2..1....4..6.10

%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 18 2013

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Last modified April 24 13:16 EDT 2024. Contains 371951 sequences. (Running on oeis4.)