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%I #8 May 17 2018 03:10:37
%S 23529,1111869,16608702,159373080,1213425084,8031303684,48448565652,
%T 273777454260,1474280952564,7651723403124,38578878478452,
%U 190021655079540,918191706377844,4366324687656564,20484111138612852,94990079602722420,436088524069815924,1984521827742566004,8961378366065460852,40189159189476918900,179133147653840946804
%N The hyper-Wiener index of the nanostar dendrimer defined pictorially as NS[n] in the M. Mirzargar reference.
%H M. Mirzargar, <a href="http://match.pmf.kg.ac.rs/electronic_versions/Match62/n2/match62n2_363-370.pdf">PI, Szeged and edge Szeged polynomials of a dendrimer nanostar</a>, MATCH, Commun. Math. Comput. Chem. 62, 2009, 363-370.
%F a(n) = 116340 - 2^n*3768423/2+4^n*(455625*n^2 - 2112075*n/2 + 3582801/2).
%F G.f.: 3*(7843 +252978*x + 651387*x^2 +134852*x^3)/((1-x)*(1-2*x)*(1-4*x)^3).
%p a := proc (n) options operator, arrow: 116340-(3768423/2)*2^n+4^n*(455625*n^2-(2112075/2)*n+3582801/2) end proc: seq(a(n), n = 0 .. 20);
%Y Cf. A227482.
%K nonn,easy
%O 0,1
%A _Emeric Deutsch_, Jul 13 2013