T(n,k)=3-loop graph coloring a rectangular array: number of nXk 0..6 arrays where 0..6 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 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph.

A223247

T(n,k)=3-loop graph coloring a rectangular array: number of nXk 0..6 arrays where 0..6 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 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph.

Terms

    a(0) =7a(1) =18a(2) =18a(3) =60a(4) =102a(5) =60a(6) =168a(7) =642a(8) =642a(9) =168a(10) =528a(11) =4086a(12) =11538a(13) =4086a(14) =528a(15) =1536a(16) =26034a(17) =144582a(18) =144582a(19) =26034a(20) =1536a(21) =4704a(22) =165894a(23) =2663082a(24) =5336844a(25) =2663082a(26) =165894a(27) =4704a(28) =13920a(29) =1057122

External references