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A223183 Rolling icosahedron footprints: number of nX5 0..11 arrays starting with 0 where 0..11 label vertices of an icosahedron and every array movement to a horizontal, vertical or antidiagonal neighbor moves along an icosahedral edge.

%I A223183 #6 Jul 23 2025 03:49:40
%S A223183 625,1280,10880,103520,1018720,10117600,100734400,1003652480,
%T A223183 10001217120,99661921440,993129226400,9896517562400,98618666649920,
%U A223183 982733746858880,9792929198608800,97586414236542560,972447371181052000
%N A223183 Rolling icosahedron footprints: number of nX5 0..11 arrays starting with 0 where 0..11 label vertices of an icosahedron and every array movement to a horizontal, vertical or antidiagonal neighbor moves along an icosahedral edge.
%C A223183 Column 5 of A223186
%H A223183 R. H. Hardin, <a href="/A223183/b223183.txt">Table of n, a(n) for n = 1..210</a>
%F A223183 Empirical: a(n) = 18*a(n-1) -114*a(n-2) +436*a(n-3) -1171*a(n-4) +2198*a(n-5) -2626*a(n-6) +1520*a(n-7) +79*a(n-8) -490*a(n-9) +156*a(n-10) +20*a(n-11) -16*a(n-12) for n>14
%e A223183 Some solutions for n=3
%e A223183 ..0..6..2..0..1....0..1..2..6..0....0..5..6..0..2....0..7.11..3..7
%e A223183 ..2..0..6..2..8....2..8..4..2..6....6..0..2..1..8....1..3..9.11..3
%e A223183 ..1..2..0..1..3....1..2..6..0..2....2..1..8..3..1....7.11..3..9.11
%e A223183 Vertex neighbors:
%e A223183 0 -> 1 2 5 6 7
%e A223183 1 -> 0 2 3 7 8
%e A223183 2 -> 0 1 4 6 8
%e A223183 3 -> 1 7 8 9 11
%e A223183 4 -> 2 6 8 9 10
%e A223183 5 -> 0 6 7 10 11
%e A223183 6 -> 0 2 4 5 10
%e A223183 7 -> 0 1 3 5 11
%e A223183 8 -> 1 2 3 4 9
%e A223183 9 -> 3 4 8 10 11
%e A223183 10 -> 4 5 6 9 11
%e A223183 11 -> 3 5 7 9 10
%K A223183 nonn
%O A223183 1,1
%A A223183 _R. H. Hardin_ Mar 18 2013