%I A058406
%S A058406 0,0,1,2,27,199,2645,34236,560742,9958754,201928954,4480386932,
%T A058406 109410252512,2897637649204,82974026800132,2550731142019568,83843131420325008,
%U A058406 2933465366569951168,108862752438362487648,4270766898251635808800
%N A058406 Total number of interior nodes in all series-parallel networks with n
labeled edges, multiple edges not allowed.
%D A058406 J. W. Moon, Some enumerative results on series-parallel networks, Annals
Discrete Math., 33 (1987), 199-226 (the sequence I_R(n)*Q_pi).
%H A058406 <a href="Sindx_Mo.html#Moon87">Index entries for sequences mentioned
in Moon (1987)</a>
%F A058406 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 A058406 Sequence in context: A119351 A098627 A051766 this_sequence A049070 A011543
A091709
%Y A058406 Adjacent sequences: A058403 A058404 A058405 this_sequence A058407 A058408
A058409
%K A058406 nonn,nice,easy
%O A058406 0,4
%A A058406 N. J. A. Sloane (njas(AT)research.att.com), Dec 20 2000
|