A216115 - OEIS

%I #11 Jun 17 2017 03:06:27

%S 1020,11020,39600,99960,208900,386820,657720,1049200,1592460,2322300,

%T 3277120,4498920,6033300,7929460,10240200,13021920,16334620,20241900,

%U 24810960,30112600,36221220,43214820,51175000,60186960,70339500,81725020,94439520,108582600,124257460,141570900

%N The Hyper-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_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).

%F a(n) = 10*n*(15n^3 +70n^2 + 134n - 117).

%F G.f.: -20*x*(98*x^3-265*x^2+296*x+51)/(x-1)^5. [_Colin Barker_, Oct 31 2012]

%p seq(150*n^4+700*n^3+1340*n^2-1170*n,n=1..30);

%Y Cf. A216114.

%K nonn,easy

%O 1,1

%A _Emeric Deutsch_, Oct 28 2012