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 A200674 Eccentricity of Tower of Hanoi graph H_n^{3} (divided by 3). 0
 0, 1, 9, 61, 385, 2365, 14353, 86605, 521089, 3130909, 18798577, 112830829, 677103073, 4062972733, 24378899281, 146276584333, 877669071937, 5266043129437, 31596344870065, 189578327500717, 1137470739845281, 6824826763594621, 40948967555136529 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Andreas M. Hinz and Daniele Parisse, The Average Eccentricity of Sierpinski Graphs, Graphs and Combinatorics, 2011. Index entries for linear recurrences with constant coefficients, signature (10,-27,18). FORMULA y(0)=0; y(n+1) = 6*y(n) + 2*3^n + 3 - 2*0^n. a(n)=y(n)/3. a(n) = -2*3^(n-2) +14*6^n/45-1/5, n>0. - R. J. Mathar, Dec 13 2011 G.f.: x*(1+x)*(2*x-1) / ( (x-1)*(6*x-1)*(3*x-1) ). - R. J. Mathar, Dec 13 2011 MATHEMATICA Join[{0}, LinearRecurrence[{10, -27, 18}, {1, 9, 61}, 25]] (* Vincenzo Librandi, Sep 11 2015 *) PROG (PARI) Vec(x*(1+x)*(2*x-1) / ( (x-1)*(6*x-1)*(3*x-1) ) + O(x^40)) \\ Michel Marcus, Sep 11 2015 (MAGMA) [0] cat [-2*3^(n-2) +14*6^n/45-1/5: n in [1..25]]; // Vincenzo Librandi, Sep 11 2015 CROSSREFS Sequence in context: A016200 A001454 A243877 * A162769 A126504 A025014 Adjacent sequences:  A200671 A200672 A200673 * A200675 A200676 A200677 KEYWORD nonn AUTHOR N. J. A. Sloane, Nov 20 2011 EXTENSIONS a(21)-a(22) from Vincenzo Librandi, Sep 11 2015 STATUS approved

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Last modified May 7 08:57 EDT 2021. Contains 343636 sequences. (Running on oeis4.)