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 A223693 Petersen graph (8,2) coloring a rectangular array: number of 2 X n 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. 1
 256, 432, 2304, 12384, 66816, 361440, 1958400, 10622304, 57652992, 313044192, 1700213760, 9235776096, 50175150336, 272604245472, 1481134892544, 8047630034784, 43726888532736, 237593019598560, 1290986302371840 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Row 2 of A223692. LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = 8*a(n-1) - 11*a(n-2) - 16*a(n-3) for n>4. Empirical g.f.: 16*x*(16 - 101*x + 104*x^2 + 175*x^3) / (1 - 8*x + 11*x^2 + 16*x^3). - Colin Barker, Aug 22 2018 EXAMPLE Some solutions for n=3: ..2.10..2....6.14.12....6..7..0...13.11..3....4..5..6....1..9..1...11.13..5 ..2..3.11....8.10..2....6..7..0....3.11.13....4..5.13....1..0..8....5..4..3 CROSSREFS Cf. A223692. Sequence in context: A115176 A299156 A221259 * A223064 A206206 A206199 Adjacent sequences: A223690 A223691 A223692 * A223694 A223695 A223696 KEYWORD nonn AUTHOR R. H. Hardin, Mar 25 2013 STATUS approved

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Last modified December 7 09:15 EST 2023. Contains 367645 sequences. (Running on oeis4.)