Search: id:A058475
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%I A058475
%S A058475 0,0,1,5,41,394,4704,65386,1049754,19032392,385419072,8615947592,
%T A058475 210831826952,5604404196832,160834760288864,4955867959526784,163197046787269792,
%U A058475 5719576163352685696,212565832527352216928,8350117027586731306848
%N A058475 Total number of interior nodes in all series-parallel networks with n 
               labeled edges, multiple edges not allowed.
%D A058475 J. W. Moon, Some enumerative results on series-parallel networks, Annals 
               Discrete Math., 33 (1987), 199-226 (the sequence I_V(n)*Q_pi).
%H A058475 <a href="Sindx_Mo.html#Moon87">Index entries for sequences mentioned 
               in Moon (1987)</a>
%F A058475 Let Q, R = Q-log(1+x), V=Q+R be the e.g.f.'s for A058379, A058380, A058381 
               resp. E.g.f.'s for A058475, A058406, A058388 are E_V = (V*Q-R)/(1-V), 
               E_R = E_V/(1+V), E_Q = (E_V+V)/(1+V)-Q.
%Y A058475 Sequence in context: A083884 A156153 A026000 this_sequence A064087 A081215 
               A140095
%Y A058475 Adjacent sequences: A058472 A058473 A058474 this_sequence A058476 A058477 
               A058478
%K A058475 nonn,nice,easy
%O A058475 0,4
%A A058475 N. J. A. Sloane (njas(AT)research.att.com), Dec 20 2000

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