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A223434 Generalized Petersen graph (8,2) coloring a rectangular array: number of n X 2 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. 2
48, 256, 1376, 7424, 40160, 217600, 1180256, 6405888, 34782688, 188912640, 1026197344, 5575016704, 30289360608, 164570543616, 894181114976, 4858543170304, 26399224399840, 143442922485760, 779415220762976 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 2 of A223440.
LINKS
FORMULA
Empirical: a(n) = 8*a(n-1) - 11*a(n-2) - 16*a(n-3).
Empirical g.f.: 16*x*(3 - 8*x - 9*x^2) / (1 - 8*x + 11*x^2 + 16*x^3). - Colin Barker, Mar 16 2018
EXAMPLE
Some solutions for n=3:
..6..5....8..0....3..4...11.13....7..0...11.13....9..1....1..0....1..9....1..9
.14..6....0..7....2..3...13.15...15..7...13.15....1..2....0..1....2..1....9.11
..8.14....8..0....3..2...15.13....9.15...15..7....2..3....1..2....3..2....1..9
CROSSREFS
Cf. A223440.
Sequence in context: A052683 A206054 A206047 * A235911 A235904 A275406
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 20 2013
STATUS
approved

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Last modified April 17 23:23 EDT 2024. Contains 371767 sequences. (Running on oeis4.)