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A223598 Petersen graph (8,2) coloring a rectangular array: number of nX7 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 A223598 #6 Jul 23 2025 04:16:57
%S A223598 11664,755200,90390720,13959069888,2400064408240,430525083804688,
%T A223598 78546923445668960,14429703592790084096,2658520939017305600464,
%U A223598 490410636478840098415664,90513619131741471092127136
%N A223598 Petersen graph (8,2) coloring a rectangular array: number of nX7 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 A223598 Column 7 of A223599
%H A223598 R. H. Hardin, <a href="/A223598/b223598.txt">Table of n, a(n) for n = 1..210</a>
%e A223598 Some solutions for n=3
%e A223598 ..0..8.10..8.10..8.10....0..8..0..8.14.12.10....0..8.10..8.10.12.14
%e A223598 ..0..8.10.12.14.12.10....0..8.10..8.14.12.14....0..8.10..8.10.12.10
%e A223598 ..0..8.10.12..4.12.10....0..8.10..8.14..6.14....0..8..0..8.14..8.14
%K A223598 nonn
%O A223598 1,1
%A A223598 _R. H. Hardin_ Mar 23 2013