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A223443 4-level binary fanout graph coloring a rectangular array: number of n X 2 0..14 arrays where 0..14 label nodes of a graph with edges 0,1 1,3 3,5 3,6 1,4 4,7 4,8 0,2 2,9 9,11 9,12 2,10 10,13 10,14 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph. 1
28, 104, 408, 1616, 6432, 25664, 102528, 409856, 1638912, 6554624, 26216448, 104861696, 419438592, 1677737984, 6710919168, 26843611136, 107374313472, 429496991744, 1717987442688, 6871948722176, 27487792791552, 109951166971904 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 2 of A223449.
LINKS
FORMULA
Empirical: a(n) = 6*a(n-1) - 8*a(n-2) for n>3.
Conjectures from Colin Barker, Aug 20 2018: (Start)
G.f.: 4*x*(7 - 16*x + 2*x^2) / ((1 - 2*x)*(1 - 4*x)).
a(n) = 2^(n-2) * (4+25*2^n) for n>1.
(End)
EXAMPLE
Some solutions for n=3:
.10.13....1..0....9.11....4..7...10..2...12..9....1..3....1..4....3..5....4..1
.13.10....3..1....2..9....8..4...14.10....9.12....3..6....3..1....6..3....1..0
.10.14....5..3....0..2....4..8...10.13....2..9....1..3....1..3....3..1....4..1
CROSSREFS
Cf. A223449.
Sequence in context: A168254 A219380 A263200 * A201469 A010016 A256647
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 20 2013
STATUS
approved

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Last modified March 29 05:48 EDT 2024. Contains 371265 sequences. (Running on oeis4.)