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%I #11 Jun 17 2017 02:59:46
%S 500,3400,9900,21200,38500,63000,95900,138400,191700,257000,335500,
%T 428400,536900,662200,805500,968000,1150900,1355400,1582700,1834000,
%U 2110500,2413400,2743900,3103200,3492500,3913000,4365900,4852400,5373700,5931000
%N The Wiener index of a link of n fullerenes C_{20} (see the Ghorbani and Hosseinzadeh reference).
%C 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.
%D 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.
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F a(n) = 100*n*(2n^2 + 6n - 3).
%F G.f.: -100*x*(7*x^2-14*x-5)/(x-1)^4. [_Colin Barker_, Oct 31 2012]
%p seq(200*n^3+600*n^2-300*n,n=1..30);
%Y Cf. A216115.
%K nonn,easy
%O 1,1
%A _Emeric Deutsch_, Oct 28 2012
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