%I A035082
%S A035082 0,1,0,1,1,3,5,13,27,67,157,390,963,2437,6186,15908,41127,107148,
%T A035082 280569,738675,1953054,5185364,13816018,36934431,99030038,266254593,
%U A035082 717652816,1938831589,5249221790,14240130827,38702218134,105367669062
%N A035082 Number of rooted polygonal cacti (Husimi graphs) with n nodes.
%D A035082 F. Bergeron, G. Labelle and P. Leroux, Combinatorial Species and Tree-Like 
               Structures.
%D A035082 F. Harary and R. Z. Norman "The Dissimilarity Characteristic of Husimi 
               Trees" Annals of Mathematics, 58 1953, pp. 134-141
%D A035082 F. Harary and E. M. Palmer, Graphical Enumeration, p. 71
%D A035082 F. Harary and G. E. Uhlenbeck "On the Number of Husimi Trees" Proc. Nat. 
               Acad. Sci. USA vol. 39 pp. 315-322 1953
%H A035082 C. G. Bower, <a href="transforms2.html">Transforms (2)</a>
%H A035082 N. J. A. Sloane, <a href="transforms.txt">Transforms</a>
%H A035082 <a href="Sindx_Ca.html#cacti">Index entries for sequences related to 
               cacti</a>
%H A035082 <a href="Sindx_Ro.html#rooted">Index entries for sequences related to 
               rooted trees</a>
%H A035082 F. Harary & G. E. Uhlenbeck, <a href="http://www.pnas.org/cgi/reprint/
               39/4/315.pdf">On The Number Of Husimi Trees</a>
%F A035082 Shifts left under transform T where Ta = EULER(BIK(a)-a).
%Y A035082 Cf. A003080, A035083-A035088.
%Y A035082 Sequence in context: A084173 A000631 A026569 this_sequence A005198 A160823 
               A077443
%Y A035082 Adjacent sequences: A035079 A035080 A035081 this_sequence A035083 A035084 
               A035085
%K A035082 nonn,eigen
%O A035082 0,6
%A A035082 Christian G. Bower (bowerc(AT)usa.net), Nov 15 1998