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A216114 The Wiener index of a link of n fullerenes C_{20} (see the Ghorbani and Hosseinzadeh reference). 1
500, 3400, 9900, 21200, 38500, 63000, 95900, 138400, 191700, 257000, 335500, 428400, 536900, 662200, 805500, 968000, 1150900, 1355400, 1582700, 1834000, 2110500, 2413400, 2743900, 3103200, 3492500, 3913000, 4365900, 4852400, 5373700, 5931000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The Hosoya-Wiener polynomial of the graph is nw + r^2*(t^{3n+1}-nt^4+nt-t)/(t^3-1)^2, where w=20+30t+60t^2+60t^3+30t^4+10t^5 and r=1+3t+6t^2+6t^3+3t^4+t^5.

REFERENCES

M. Ghorbani and M. A. Hosseinzadeh, On Wiener index of special case of link fullerenes, Optoelectronics and advanced materials - Rapid Communications, 4, 2010, 538-539.

LINKS

Table of n, a(n) for n=1..30.

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

FORMULA

a(n) = 100*n*(2n^2 + 6n - 3).

G.f.: -100*x*(7*x^2-14*x-5)/(x-1)^4. [Colin Barker, Oct 31 2012]

MAPLE

seq(200*n^3+600*n^2-300*n, n=1..30);

CROSSREFS

Cf. A216115.

Sequence in context: A251813 A045215 A194085 * A005954 A281779 A231804

Adjacent sequences:  A216111 A216112 A216113 * A216115 A216116 A216117

KEYWORD

nonn,easy

AUTHOR

Emeric Deutsch, Oct 28 2012

STATUS

approved

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Last modified January 24 07:18 EST 2020. Contains 331189 sequences. (Running on oeis4.)