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A223236 Rolling icosahedron footprints: number of 4Xn 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

%S 1728,10985,812225,32837285,1697263985,78951770585,3843057179285,

%T 183367303999865,8826695677742465,423223089093370325,

%U 20328307272501475145,975647469218575594625,46842159188887320714725

%N Rolling icosahedron footprints: number of 4Xn 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 4 of A223233

%H R. H. Hardin, <a href="/A223236/b223236.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 32*a(n-1) +1042*a(n-2) -11074*a(n-3) -125832*a(n-4) +1314816*a(n-5) -820893*a(n-6) -14900218*a(n-7) +19327896*a(n-8) +41119416*a(n-9) -33578064*a(n-10) -26034048*a(n-11) +12597120*a(n-12) for n>13

%e Some solutions for n=3

%e ..0..6.10....0..6..0....0..6..4....0..6.10....0..6.10....0..6..2....0..6..0

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

%e ..5..6..2....3..7..1....5..6..0....4..6..4....5..6..2....2..6..4....2..6..4

%e ..5..0..2....5..7..3....5..6..0....5.10..5....2..6..0....5..6..0...10..6..4

%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 October 18 03:25 EDT 2021. Contains 348065 sequences. (Running on oeis4.)