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A223439 Generalized 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 or vertical neighbor moves along an edge of this graph.

%I A223439 #6 Jul 23 2025 04:09:52
%S A223439 11664,1180256,179532768,33277934848,6790055219264,1445484467129440,
%T A223439 313233804577725904,68373044838570536416,14968850924351337707600,
%U A223439 3281073242585313313486816,719543293998612435740651440
%N A223439 Generalized 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 or vertical neighbor moves along an edge of this graph.
%C A223439 Column 7 of A223440
%H A223439 R. H. Hardin, <a href="/A223439/b223439.txt">Table of n, a(n) for n = 1..210</a>
%e A223439 Some solutions for n=3
%e A223439 ..8..0..8.14..8.14..8....8..0..8.14.12.10.12....8..0..8.10.12.14..8
%e A223439 ..0..8.14..8.10..8.10....0..8.14..8.10.12.14....0..8.10..8.14.12.10
%e A223439 ..8..0..8..0..8.10..2....8..0..8.10..8.10..8....8..0..8.14.12.10..8
%K A223439 nonn
%O A223439 1,1
%A A223439 _R. H. Hardin_ Mar 20 2013