A223289 4-loop graph coloring a rectangular array: number of n X n 0..8 arrays where 0..8 label nodes of a graph with edges 0,1 1,2 2,0 0,3 3,4 4,0 0,5 5,6 6,0 0,7 7,8 8,0 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph

9, 168, 42168, 46008720, 757664837832, 53263771547091072, 56395315109321439563328, 254765586321230138822186989968, 17333186258617759005034608109179216168