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A292055 Wiener index of the n-Mycielski graph. 0
0, 1, 15, 90, 435, 1926, 8175, 33930, 139035, 565326, 2287335, 9224370, 37116435, 149110326, 598350495, 2399080410, 9613258635, 38503648926, 154166045655, 617117746050, 2469830101635, 9883394613126, 39545794780815, 158219815525290, 632989146141435 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..25.

Eric Weisstein's World of Mathematics, Mycielski Graph

Eric Weisstein's World of Mathematics, Wiener Index

Index entries for linear recurrences with constant coefficients, signature (10,-35,50,-24).

FORMULA

a(n) = (216 - 27*2^(n + 3) - 56*3^n + 81*4^n)/144 for n > 1.

a(n) = 10*a(n-1) - 35*a(n-2) + 50*a(n-3) - 24*a(n-4).

G.f.: x^2*(1 + 5*x - 25*x^2 + 10*x^3)/(1 - 10*x + 35*x^2 - 50*x^3 + 24*x^4).

MATHEMATICA

Table[If[n == 1, 0, (216 - 27 2^(n + 3) - 56 3^n + 81 4^n)/144], {n,

  30}]

Join[{0}, LinearRecurrence[{10, -35, 50, -24}, {1, 15, 90, 435}, 20]]

CoefficientList[Series[x (1 + 5 x - 25 x^2 + 10 x^3)/(1 - 10 x + 35 x^2 - 50 x^3 + 24 x^4), {x, 0, 20}], x]

CROSSREFS

Sequence in context: A179096 A001297 A005716 * A263628 A263629 A320524

Adjacent sequences:  A292052 A292053 A292054 * A292056 A292057 A292058

KEYWORD

nonn,easy

AUTHOR

Eric W. Weisstein, Sep 08 2017

STATUS

approved

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Last modified March 20 05:34 EDT 2019. Contains 321344 sequences. (Running on oeis4.)