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A223416 3-level binary fanout graph coloring a rectangular array: number of n X n 0..6 arrays where 0..6 label nodes of a graph with edges 0,1 1,3 1,4 0,2 2,5 2,6 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph.

%I A223416 #8 Jul 23 2025 04:07:44
%S A223416 7,40,868,47872,9210784,4565849088,7939011165696,35771349106229248,
%T A223416 568805952799804981248,23519412222495212487835648,
%U A223416 3445579826336104496385828585472,1315514651265664243430976739562487808
%N A223416 3-level binary fanout graph coloring a rectangular array: number of n X n 0..6 arrays where 0..6 label nodes of a graph with edges 0,1 1,3 1,4 0,2 2,5 2,6 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph.
%C A223416 Diagonal of A223423
%H A223416 R. H. Hardin, <a href="/A223416/b223416.txt">Table of n, a(n) for n = 1..16</a>
%e A223416 Some solutions for n=3
%e A223416 ..3..1..3....5..2..0....6..2..0....2..0..1....4..1..3....4..1..4....4..1..3
%e A223416 ..1..0..1....2..6..2....2..6..2....0..1..0....1..0..1....1..4..1....1..3..1
%e A223416 ..3..1..3....0..2..6....5..2..6....1..0..1....3..1..0....3..1..3....0..1..3
%K A223416 nonn
%O A223416 1,1
%A A223416 _R. H. Hardin_ Mar 20 2013