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%I #7 Nov 15 2016 03:02:43
%S 9801,800545,14262241,148766529,1187870657,8103701057,49907422785,
%T 286259766337,1558851796033,8161139590209,41432038278209,
%U 205221516272705,996243752510529,4755963555931201,22386081148494913,104106406002746433
%N The hyper-Wiener index of the nanostar dendrimer NSC_5C_6[n], defined pictorially in the Ashrafi et al. and the Rostami et al. references.
%C a(2) has been checked by the direct computation of the Wiener index (using Maple).
%H A. R. Ashrafi and P. Nikzad, <a href="http://www.chalcogen.ro/1Ashrafi-Nikzad.pdf">Szeged index of nanostar dendrimers</a>, Digest J. of Nanomaterials and Biostructures, 4, No. 1, 2009, 155-157.
%H M. Rostami, M. Shabanian, and H. Moghanian, <a href="http://www.chalcogen.ro/247_Rostami.pdf">Some topological indices for theoretical study of two types of nanostar dendrimers</a>, Digest J. of Nanomaterials and Biostructures, 7, No. 1, 2012, 247-252.
%F a(n) = 189505 + 2^(n)*(360*n^(2) - 1148*n - 1285024) + 4^(n)*(129600*n^(2) -627120*n + 1095500).
%F G.f. = z*(9801 +614326*z +522036*z^2 - 8367736*z^3+6785696*z^4+5562240*z^5-9728*z^6)/((1-z)*(1-2*z)^3*(1-4*z)^3).
%p a := proc (n) options operator, arrow: 189505+2^n*(360*n^2-1148*n-1285024)+4^n*(129600*n^2-627120*n+1095500) end proc: seq(a(n), n = 1 .. 18);
%Y Cf. A227488.
%K nonn
%O 1,1
%A _Emeric Deutsch_, Jul 16 2013
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