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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 1

%I #4 Mar 20 2013 06:28:33

%S 11664,1180256,179532768,33277934848,6790055219264,1445484467129440,

%T 313233804577725904,68373044838570536416,14968850924351337707600,

%U 3281073242585313313486816,719543293998612435740651440

%N 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 Column 7 of A223440

%H R. H. Hardin, <a href="/A223439/b223439.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

%e ..8..0..8.14..8.14..8....8..0..8.14.12.10.12....8..0..8.10.12.14..8

%e ..0..8.14..8.10..8.10....0..8.14..8.10.12.14....0..8.10..8.14.12.10

%e ..8..0..8..0..8.10..2....8..0..8.10..8.10..8....8..0..8.14.12.10..8

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 20 2013

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Last modified February 26 16:21 EST 2024. Contains 370352 sequences. (Running on oeis4.)