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A223232 Rolling icosahedron footprints: number of nX7 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.

%I A223232 #6 Jul 23 2025 03:54:02
%S A223232 15625,7540985,5127809545,3843057179285,3010781803380625,
%T A223232 2410480042269361205,1952463524081506924645,1591754706579747811787945,
%U A223232 1302463364554005567144837065,1067991482533134242042535939665
%N A223232 Rolling icosahedron footprints: number of nX7 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 A223232 Column 7 of A223233
%H A223232 R. H. Hardin, <a href="/A223232/b223232.txt">Table of n, a(n) for n = 1..110</a>
%e A223232 Some solutions for n=3
%e A223232 ..0..6..0..6..0..6..0....0..6..0..5..0..1..2....0..6..0..6..4..8..2
%e A223232 ..0..6..0..6..0..7..0....0..6..0..6..0..6..2....0..6..0..6..2..8..3
%e A223232 ..0..6..0..1..0..2..0....0..6..0..6..5..6..0....0..6..0..6..2..8..1
%e A223232 Vertex neighbors:
%e A223232 0 -> 1 2 5 6 7
%e A223232 1 -> 0 2 3 7 8
%e A223232 2 -> 0 1 4 6 8
%e A223232 3 -> 1 7 8 9 11
%e A223232 4 -> 2 6 8 9 10
%e A223232 5 -> 0 6 7 10 11
%e A223232 6 -> 0 2 4 5 10
%e A223232 7 -> 0 1 3 5 11
%e A223232 8 -> 1 2 3 4 9
%e A223232 9 -> 3 4 8 10 11
%e A223232 10 -> 4 5 6 9 11
%e A223232 11 -> 3 5 7 9 10
%K A223232 nonn
%O A223232 1,1
%A A223232 _R. H. Hardin_ Mar 18 2013