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A223435 Generalized Petersen graph (8,2) coloring a rectangular array: number of nX3 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 vertical neighbor moves along an edge of this graph 1
144, 1376, 14112, 147520, 1562176, 16693920, 179532768, 1939216640, 21008925952, 228065409888, 2479179661472, 26974655289536, 293678536506304, 3198664399776288, 34848651790913888, 379738193353123456 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A223440

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 15*a(n-1) -18*a(n-2) -310*a(n-3) +167*a(n-4) +475*a(n-5) -244*a(n-6) -100*a(n-7) +48*a(n-8)

EXAMPLE

Some solutions for n=3

.13.11.13....9.11..9...12..4..5....9.15.13....6..5.13....5..6.14....6..5..6

.15..9.11....1..9..1....4..3..4...15..9.11....7..6..5....6.14.12....5..6..7

.13.11.13....0..1..2....5..4.12....9.15.13....0..7..6...14.12.14....6.14..6

CROSSREFS

Sequence in context: A203819 A222515 A023096 * A169859 A137416 A109117

Adjacent sequences:  A223432 A223433 A223434 * A223436 A223437 A223438

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 20 2013

STATUS

approved

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Last modified December 4 15:36 EST 2021. Contains 349526 sequences. (Running on oeis4.)