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A223367 6X6X6 triangular graph coloring a rectangular array: number of nX5 0..20 arrays where 0..20 label nodes of the fully triangulated graph and every array movement to a horizontal or vertical neighbor moves along an edge of this graph 1

%I

%S 9552,1686042,356391222,78876317946,17823802572918,4058501783492178,

%T 928457167048336590,212807842861152381090,48847537657537109132742,

%U 11218691918610300123247002,2577890303656450712737152198

%N 6X6X6 triangular graph coloring a rectangular array: number of nX5 0..20 arrays where 0..20 label nodes of the fully triangulated graph and every array movement to a horizontal or vertical neighbor moves along an edge of this graph

%C Column 5 of A223370

%H R. H. Hardin, <a href="/A223367/b223367.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

%e ..1..0..1..3..6....1..0..2..4..5....1..0..2..4..8....1..0..1..0..2

%e ..0..1..3..1..3....0..2..4..2..4....0..1..4..8..7....0..1..0..1..0

%e ..1..3..6..3..4....2..4..2..4..1....2..4..8.13..8....1..4..2..0..2

%e Vertex neighbors:

%e 0 -> 1 2

%e 1 -> 0 2 3 4

%e 2 -> 0 1 4 5

%e 3 -> 1 4 6 7

%e 4 -> 1 2 3 5 7 8

%e 5 -> 2 4 8 9

%e 6 -> 3 7 10 11

%e 7 -> 3 4 6 8 11 12

%e 8 -> 4 5 7 9 12 13

%e 9 -> 5 8 13 14

%e 10 -> 6 11 15 16

%e 11 -> 6 7 10 12 16 17

%e 12 -> 7 8 11 13 17 18

%e 13 -> 8 9 12 14 18 19

%e 14 -> 9 13 19 20

%e 15 -> 10 16

%e 16 -> 10 11 15 17

%e 17 -> 11 12 16 18

%e 18 -> 12 13 17 19

%e 19 -> 13 14 18 20

%e 20 -> 14 19

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 19 2013

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Last modified January 21 07:12 EST 2022. Contains 350473 sequences. (Running on oeis4.)