T(n,k)=5X5X5 triangular graph without horizontal edges coloring a rectangular array: number of nXk 0..14 arrays where 0..14 label nodes of a graph with edges 0,1 0,2 1,3 1,4 2,4 2,5 3,6 3,7 4,7 4,8 5,8 5,9 6,10 6,11 7,11 7,12 8,12 8,13 9,13 9,14 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph.

A223432

T(n,k)=5X5X5 triangular graph without horizontal edges coloring a rectangular array: number of nXk 0..14 arrays where 0..14 label nodes of a graph with edges 0,1 0,2 1,3 1,4 2,4 2,5 3,6 3,7 4,7 4,8 5,8 5,9 6,10 6,11 7,11 7,12 8,12 8,13 9,13 9,14 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph.

Terms

    a(0) =15a(1) =40a(2) =40a(3) =120a(4) =248a(5) =120a(6) =356a(7) =1648a(8) =1648a(9) =356a(10) =1088a(11) =11168a(12) =25436a(13) =11168a(14) =1088a(15) =3276a(16) =76384a(17) =394736a(18) =394736a(19) =76384a(20) =3276a(21) =10052a(22) =524736a(23) =6256832a(24) =14270468a(25) =6256832a(26) =524736a(27) =10052a(28) =30380a(29) =3613024

External references