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A221017 The hyper-Wiener index of the fullerenyl anion G[n]C[60], defined pictorially in the Arezoomand reference (see Fig. 5). 2
47750, 136534, 559318, 2753270, 15400950, 90898294, 533474678, 3033407350, 16617791350, 87925716854, 451432421238, 2259700922230, 11073057240950, 53297483364214, 252669889754998, 1182399069697910, 5471583039141750, 25074494578112374, 113930964314371958 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

See Table on p. 722 of the Arezoomand reference.

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

M. Arezoomand, On the distance-based topological indices of fullerene and fullerenyl anions having dendrimer units, Digest J. of Nanomaterials and Biostructures, 4 (2009) 713-722.

Index entries for linear recurrences with constant coefficients, signature (19,-150,636,-1560,2208,-1664,512).

FORMULA

a(n) = 14198+2^n*(-11544+6920*n+14000*n^2) +4^n*(6400*n^2-25600*n+45096).

G.f.: 2*(23875 -385358*x +2563836*x^2 -8881336*x^3 +17320448*x^4 -18447232*x^5 +7997440*x^6)/((1-x)*(1-2*x)^3*(1-4*x)^3). - Bruno Berselli, Dec 30 2012

MAPLE

a := proc (n) options operator, arrow: 14198+2^n*(-11544+6920*n+14000*n^2)+4^n*(6400*n^2-25600*n+45096) end proc: seq(a(n), n = 0 .. 18);

MATHEMATICA

Table[14198 + 2^n (-11544 + 6920 n + 14000 n^2) + 4^n (6400 n^2 - 25600 n + 45096), {n, 0, 20}] (* Vincenzo Librandi, Nov 06 2018 *)

PROG

(PARI) a(n) = 14198+2^n*(-11544+6920*n+14000*n^2) + 4^n*(6400*n^2-25600*n+45096); \\ Andrew Howroyd, Nov 05 2018

(MAGMA) [14198 + 2^n*(-11544 + 6920*n + 14000*n^2) + 4^n*(6400*n^2 - 25600*n + 45096): n in [0..20]]; // Vincenzo Librandi, Nov 06 2018

CROSSREFS

Cf. A221016.

Sequence in context: A241221 A261339 A166003 * A254800 A254807 A253816

Adjacent sequences:  A221014 A221015 A221016 * A221018 A221019 A221020

KEYWORD

nonn,easy

AUTHOR

Emeric Deutsch, Dec 30 2012

STATUS

approved

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Last modified January 20 13:55 EST 2022. Contains 350472 sequences. (Running on oeis4.)