A223400 - OEIS

%I #4 Mar 19 2013 18:16:17

%S 5096,943016,199425400,43699580872,9705525235832,2167784359988816,

%T 485449397967176280,108848309856453879360,24421716229987194638264,

%U 5481164676275390586552248,1230391852175808762117043648

%N 4X4 square grid graph coloring a rectangular array: number of nX6 0..15 arrays where 0..15 label nodes of the square grid graph and every array movement to a horizontal or vertical neighbor moves along an edge of this graph

%C Column 6 of A223402

%H R. H. Hardin, <a href="/A223400/b223400.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

%e ..4..0..4..0..1..5....4..0..4..5..1..0....4..0..1..5..9.10....4..0..4..8..9.13

%e ..0..4..0..4..5..9....0..4..5..1..5..1....0..1..2..6.10.11....0..4..0..4..8..9

%e ..4..5..1..0..4..8....4..0..1..2..1..2....4..0..1..5..9.10....4..0..1..0..4..5

%e Vertex neighbors:

%e 0 -> 1 4

%e 1 -> 0 2 5

%e 2 -> 1 3 6

%e 3 -> 2 7

%e 4 -> 0 5 8

%e 5 -> 4 1 6 9

%e 6 -> 5 2 7 10

%e 7 -> 6 3 11

%e 8 -> 4 9 12

%e 9 -> 8 5 10 13

%e 10 -> 9 6 11 14

%e 11 -> 10 7 15

%e 12 -> 8 13

%e 13 -> 12 9 14

%e 14 -> 13 10 15

%e 15 -> 14 11

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 19 2013