A223697 - OEIS

A223697

Petersen graph (8,2) coloring a rectangular array: number of 6Xn 0..15 arrays where 0..15 label nodes of a graph with edges 0,1 0,8 8,14 8,10 1,2 1,9 9,15 9,11 2,3 2,10 10,12 3,4 3,11 11,13 4,5 4,12 12,14 5,6 5,13 13,15 6,7 6,14 7,0 7,15 and every array movement to a horizontal or antidiagonal neighbor moves along an edge of this graph.

16777216, 2834352, 154616832, 9762152544, 814399853760, 74643295612752, 7306668414672912, 734664480565454496, 74933418159318970224, 7689928159453619621520, 791546397676585132552128

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Row 6 of A223692

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..164

EXAMPLE

Some solutions for n=3

..0..8..0....0..8..0....0..8..0....0..8..0....0..8..0....0..8..0....0..8..0

..0..8..0....0..8..0....0..8.10....0..8..0....0..8..0....0..8..0....0..8.10

.14..8.14...14..8.10...10.12..4...10..8.14...10..8.14....0..1..9...10..8.10

.10.12.10....0..8.10...14.12.14...10..8.10...14.12..4....0..1..0...14..8.14

.14.12.14...14..8.10...10.12..4...14.12.10....4.12.10....9..1..9....0..8.14

.14..6..7...10..8..0....4.12.14...10..8.14...10..2.10....9.15.13...14.12..4

CROSSREFS

Sequence in context: A011574 A022540 A223604 * A057070 A067494 A177081

Adjacent sequences: A223694 A223695 A223696 * A223698 A223699 A223700

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 25 2013

STATUS

approved