|
%I #17 Nov 14 2016 16:02:15
%S 94698,1317858,10315218,63835698,349594098,1781094258,8661794418,
%T 40799683698,187793424498,849479276658,3790907541618,16734956611698,
%U 73223518070898,318024922835058,1372613885896818,5892491154499698,25178059222493298,107144508620089458
%N The Wiener index of the nanostar dendrimer NS[n], defined pictorially in the Ashrafi et al. reference.
%C a(1) has been checked by the direct computation of the Wiener index (using Maple).
%H A. R. Ashrafi and M. Mirzagar, <a href="http://nopr.niscair.res.in/handle/123456789/2084">PI, Szeged and edge Szeged indices of an infinite family of nanostar dendrimers</a>, Indian J. of Chemistry, 47A, 2008, 538-541.
%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.
%H J. Yang, F. Xia, and S. Chen, <a href="http://www.m-hikari.com/ijcms-2011/5-8-2011/yangjgIJCMS5-8-2011-2.pdf">Second-order and third-order connectivity indices of an infinite family of dendrimer nanostars</a>, Int. J. Contemp. Math. Sciences, 6, 2011, No. 5, 215-220.
%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) = -55182 + 181020*2^n - 125640*4^n -42000*n*2^n +93600*n*4^n.
%F G.f.: -6*x*(2112*x^4+10912*x^3-126044*x^2+14464*x+15783) / ((x-1)*(2*x-1)^2*(4*x-1)^2). - _Colin Barker_, Apr 01 2013
%p a := proc (n) options operator, arrow: -55182+181020*2^n-125640*4^n+93600*4^n*n-42000*2^n*n end proc: seq(a(n), n = 1 .. 18);
%Y Cf. A216123.
%K nonn,easy
%O 1,1
%A _Emeric Deutsch_, Mar 25 2013
|
