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 A223600 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, diagonal or antidiagonal neighbor moves along an edge of this graph. 1
 256, 256, 1504, 6736, 32768, 156592, 755200, 3643024, 17608064, 85179184, 412367104, 1997306896, 9677417600, 46900761520, 227339596288, 1102103488912, 5343259128704, 25906912147504, 125615423519488, 609091866864400 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Row 2 of A223599. LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = 6*a(n-1) + 3*a(n-2) - 42*a(n-3) - 8*a(n-4) + 48*a(n-5) for n>6. Empirical g.f.: 16*x*(16 - 80*x - 50*x^2 + 481*x^3 + 40*x^4 - 456*x^5) / ((1 + 2*x)*(1 - 8*x + 13*x^2 + 16*x^3 - 24*x^4)). - Colin Barker, Aug 21 2018 EXAMPLE Some solutions for n=3: ..2..3..4...11..3..4....0..8.14...15..7..0...15..9..1....3..4..3....9.15..7 .11..3..2....4..3..4...10..8.10....0..7..0...11..9.15....5..4..5...13.15..9 CROSSREFS Cf. A223599. Sequence in context: A186474 A093861 A248776 * A217848 A044872 A044979 Adjacent sequences: A223597 A223598 A223599 * A223601 A223602 A223603 KEYWORD nonn AUTHOR R. H. Hardin, Mar 23 2013 STATUS approved

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Last modified December 6 04:57 EST 2022. Contains 358594 sequences. (Running on oeis4.)