A224465 - OEIS

%I #5 Jul 13 2013 01:53:02

%S 8340,12428,26748,76444,268380,1100508,4959708,23244764,109587420,

%T 512103388,2360853468,10733675484,48188138460,213973935068,

%U 941242328028,4107369456604,17801289409500,76697192899548,328767224423388,1403004800476124,5963809931928540

%N The 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) = 9180 + 2^n*(2800*n+136)+4^n*(320*n-976).

%F G.f.: 4*(2085-23998*z+99736*z^2-177552*z^3+120384*z^4)/((1-z)*(1-2*z)^2*(1-4*z)^2).

%p a := proc (n) options operator, arrow: 9180+2^n*(2800*n+136)+4^n*(320*n-976) end proc: seq(a(n), n = 0 .. 20);

%Y Cf. A224466

%K nonn

%O 0,1

%A _Emeric Deutsch_, Jul 12 2013