login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

5X5X5 triangular graph coloring a rectangular array: number of nX6 0..14 arrays where 0..14 label nodes of a graph with edges 0,1 0,2 1,2 1,3 1,4 2,4 3,4 2,5 4,5 3,6 3,7 4,7 6,7 4,8 5,8 7,8 5,9 8,9 6,10 6,11 7,11 10,11 7,12 8,12 11,12 11,12 8,13 9,13 12,13 9,14 13,14 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph
1

%I #4 Mar 19 2013 12:44:20

%S 23712,9474840,4730218284,2496237714588,1348575549617448,

%T 734147032128932496,401058585082703800512,219352570908026259076824,

%U 120039440994934047671679228,65703360655055548892110228722

%N 5X5X5 triangular graph coloring a rectangular array: number of nX6 0..14 arrays where 0..14 label nodes of a graph with edges 0,1 0,2 1,2 1,3 1,4 2,4 3,4 2,5 4,5 3,6 3,7 4,7 6,7 4,8 5,8 7,8 5,9 8,9 6,10 6,11 7,11 10,11 7,12 8,12 11,12 11,12 8,13 9,13 12,13 9,14 13,14 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph

%C Column 6 of A223344

%H R. H. Hardin, <a href="/A223342/b223342.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

%e ..3..7..3..4..7.12....3..7..8..7..3..4....3..7..8..7..8.12....3..7..3..7..4..1

%e ..7..3..7..3..6..7....7..3..7.12..7..3....7..3..7.11.12.11....7..3..7..8..7..4

%e ..3..1..3..1..3..4....3..1..3..7..4..1....3..1..3..7.11..7....3..1..3..4..8..7

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 19 2013