Search: id:A000083
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%I A000083 M1191 N0461
%S A000083 1,1,1,2,4,9,23,63,188,596,1979,6804,24118,87379,322652,1209808,
%T A000083 4596158,17657037,68497898,268006183,1056597059,4193905901,
%U A000083 16748682185,67258011248,271452424286,1100632738565,4481533246014
%N A000083 Number of mixed Husimi trees with n nodes; or polygonal cacti with bridges.
%D A000083 G. W. Ford and G. E. Uhlenbeck, Combinatorial problems in the theory 
               of graphs III, Proc. Nat. Acad. Sci. USA, 42 (1956), 529-535.
%D A000083 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000083 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A000083 Christian G. Bower, <a href="b000083.txt">Table of n, a(n) for n=0..500</
               a>
%H A000083 <a href="Sindx_Ca.html#cacti">Index entries for sequences related to 
               cacti</a>
%H A000083 <a href="Sindx_Tra.html#trees">Index entries for sequences related to 
               trees</a>
%F A000083 G.f.: A(x)=B(x)+C(x)-B(x)*D(x), B, C, D resp gfs of A000237, A035349, 
               A035350.
%Y A000083 Cf. A000237, A000314, A035082, A035349-A035357.
%Y A000083 Sequence in context: A058585 A001573 A135307 this_sequence A092668 A164039 
               A014137
%Y A000083 Adjacent sequences: A000080 A000081 A000082 this_sequence A000084 A000085 
               A000086
%K A000083 nonn
%O A000083 0,4
%A A000083 N. J. A. Sloane (njas(AT)research.att.com).
%E A000083 More terms and formula from Christian G. Bower (bowerc(AT)usa.net), Nov 
               15 1998

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