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A223604 Petersen graph (8,2) coloring a rectangular array: number of 6Xn 0..15 arrays where 0..15 label nodes of a graph with edges 0,1 0,8 8,14 8,10 1,2 1,9 9,15 9,11 2,3 2,10 10,12 3,4 3,11 11,13 4,5 4,12 12,14 5,6 5,13 13,15 6,7 6,14 7,0 7,15 and every array movement to a horizontal, diagonal or antidiagonal neighbor moves along an edge of this graph.

%I A223604 #6 Jul 23 2025 04:17:31
%S A223604 16777216,217600,21308000,982848688,77164934624,5493636282928,
%T A223604 430525083804688,33412125075233264,2632417918238601216,
%U A223604 207242362758169075664,16354092687858619453040,1290529367734515426273264
%N A223604 Petersen graph (8,2) coloring a rectangular array: number of 6Xn 0..15 arrays where 0..15 label nodes of a graph with edges 0,1 0,8 8,14 8,10 1,2 1,9 9,15 9,11 2,3 2,10 10,12 3,4 3,11 11,13 4,5 4,12 12,14 5,6 5,13 13,15 6,7 6,14 7,0 7,15 and every array movement to a horizontal, diagonal or antidiagonal neighbor moves along an edge of this graph.
%C A223604 Row 6 of A223599
%H A223604 R. H. Hardin, <a href="/A223604/b223604.txt">Table of n, a(n) for n = 1..127</a>
%e A223604 Some solutions for n=3
%e A223604 ..0..8..0....0..8..0....0..8..0....0..8..0....0..8..0....0..8..0....0..8..0
%e A223604 ..0..1..0...10..8.10...10..8.14....0..1..0...10..8.10....0..8.14....0..1..0
%e A223604 ..9..1..2...14..8.10...14..8..0....0..7..0...10..8.10...14..8.14....2..1..9
%e A223604 ..2..1..9...10..8.10....0..8.10...15..7..6....0..8..0....0..8.14....0..1..0
%e A223604 ..2..1..0....0..8..0...10..8.10...15..7.15....0..8.14...10..8.10....2..1..9
%e A223604 ..2..1..2...14..8..0....0..8.10....6..7..0....0..8..0....0..8.10....0..1..9
%K A223604 nonn
%O A223604 1,1
%A A223604 _R. H. Hardin_ Mar 23 2013