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 A223237 Rolling icosahedron footprints: number of 5Xn 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 20:37:38

%S 20736,142805,26157625,2191464605,266409703885,27049155640325,

%T 3010781803380625,319668431152592585,34788800528856366205,

%U 3737470592349481922045,404261376372354175571785

%N Rolling icosahedron footprints: number of 5Xn 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 5 of A223233

%H R. H. Hardin, <a href="/A223237/b223237.txt">Table of n, a(n) for n = 1..210</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...10..6..0....4..6..0....0..6..0....4..6..0....0..6..0....4..6..0

%e ..0..2..0....0..6..2....5..6..0....0..5.10...10..6..2....0..7..5....0..6..4

%e ..0..5..0...10..6..4....0..7..5....0..5..6....5..6..4....0..6..5....4..2..0

%e ..6..5..6...10..6..5....0..7.11....0..5.10....0..6..5....2..6..4....0..2..8

%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 September 16 18:59 EDT 2024. Contains 375977 sequences. (Running on oeis4.)