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%I #5 Jul 13 2013 01:53:05
%S 27180,47750,149614,608478,2894430,15765790,91789854,535578398,
%T 3038252830,16628755230,87950187294,451486444318,2259819129630,
%U 11073313975070,53298037467934,252671079230238,1182401611180830,5471588447169310,25074506044287774,113930988546960158,513775960055622430
%N The hyper-Wiener index of the nanostar dendrimer defined pictorially as NS[n] in the Z. S. Irani reference.
%D Z. S. Irani, A. Karbasioun, Wiener index of a new type of nanostar dendrimer, Iranian J. Math. Chem., 2, 2011, 79-85.
%F a(n) = 11038 + 2^n*(7000*n^2 -8060*n - 3132)+4^n*(1600*n^2 - 9600*n + 19274).
%F G.f.: 2*(13590 - 234335*z + 1659682*z^2 - 6179084*z^3 + 12903624*z^4 - 14317312*z^5 + 6302848*z^6)/((1-z)*(1-2*z)^3*(1-4*z)^3).
%p a := proc (n) options operator, arrow: 11038+2^n*(7000*n^2-8060*n-3132)+4^n*(1600*n^2-9600*n+19274) end proc: seq(a(n), n = 0 .. 20);
%Y Cf. A224465
%K nonn
%O 0,1
%A _Emeric Deutsch_, Jul 12 2013
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