%I #8 Jul 22 2022 11:18:05

%S 198,3834,34434,230418,1327410,7005042,34949106,167809266,783885042,

%T 3587327730,16158854898,71878385394,316494986994,1381924896498,

%U 5991517716210,25821420060402,110707230375666,472515428744946,2008808357363442,8510221225819890

%N The Wiener index of the nanostar dendrimer defined pictorially as G(n) in the Darafsheh et al. reference.

%C a(2) has been checked by the direct computation of the Wiener index (using Maple).

%D M. R. Darafsheh, M. H. Khalifeh, Calculation of the Wiener, Szeged, and PI indices of a certain nanostar dendrimer, Ars Comb., 100, 2011, 289-298.

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (11,-42,64,-32).

%F a(n) = 4^n*(1728*n - 1872) + 2340*2^n -270.

%F G.f.: 18*(11+4*x)*(1+8*x)/((1-x)*(1-2*x)*(1-4*x)^2).

%p a := proc (n) options operator, arrow: 4^n*(1728*n-1872)+2340*2^n-270 end proc: seq(a(n), n = 0 .. 22);

%Y Cf. A227706.

%K nonn,easy

%O 0,1

%A _Emeric Deutsch_, Jul 29 2013