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%I #13 Jul 20 2017 01:53:22
%S 36604,304804,2137492,13143988,73561204,385003252,1919944180,
%T 9239885812,43293991924,198728338420,897605155828,4002258869236,
%U 17658743397364,77238940933108,335382756072436,1447262942927860,6212030751579124,26540148350000116,112928927250390004
%N The Szeged index of fourth type dendrimer nanostar which has grown n stages.
%H A. Iranmanesh and N. Gholami, <a href="https://doi.org/10.1049/mnl:20070057">Computing the Szeged index of third and fourth dendrimer nanostars</a>, Micro & Nano Letters, 2 (2007), 107-110.
%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (13,-64,148,-160,64).
%F a(n) = 24624*n*4^n + 7156 + 25992*n*2^n + 53532*2^n - 57024*4^n.
%F G.f.: -4*x*(58624*x^4-138336*x^3+129424*x^2-42762*x+9151) / ((x-1)*(2*x-1)^2*(4*x-1)^2). - _Colin Barker_, Sep 20 2013
%p a:=24624*n*4^n+7156+25992*n*2^n+53532*2^n-57024*4^n: seq(a(n),n=1..18);
%Y Cf. A143367.
%K nonn,easy
%O 1,1
%A _Emeric Deutsch_, Sep 05 2008
%E More terms from _Colin Barker_, Sep 20 2013