%I A006959 M4274
%S A006959 1,6,65,1092,25272,749034,27108440,1159194472,57190952440,
%T A006959 3197759266112,199831490658912,13802087001056704,1044075809166477232,
%U A006959 85847947926743165952,7623428923066363040672,727116625218755662644416
%N A006959 Number of labeled M-type rooted trees on n nodes.
%D A006959 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A006959 F. Bergeron, G. Labelle and P. Leroux, Th\'{e}orie des esp\`{e}ces et 
               Combinatoire des Structures Arborescentes, Publications du LACIM, 
               Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1994, p. 214.
%D A006959 F. Bergeron, G. Labelle and P. Leroux, Combinatorial Species and Tree-Like 
               Structures, Cambridge, 1998, pp. 210, 242 (3.2.68, 3.3.92)
%D A006959 G. Labelle, Some new computational methods in the theory of species, 
               pp. 192-209 of "Combinatoire Enumerative (Montreal 1985)", Lect. 
               Notes Math. 1234, 1986.
%H A006959 <a href="Sindx_Ro.html#rooted">Index entries for sequences related to 
               rooted trees</a>
%F A006959 E.g.f. satisfies 2*A(x)=exp(x+A(x))-1-log(1-x)*A(x).
%Y A006959 Cf. A052315.
%Y A006959 Sequence in context: A141008 A087488 A099343 this_sequence A121017 A137121 
               A110222
%Y A006959 Adjacent sequences: A006956 A006957 A006958 this_sequence A006960 A006961 
               A006962
%K A006959 nonn,eigen,nice
%O A006959 1,2
%A A006959 Simon Plouffe, N. J. A. Sloane (njas(AT)research.att.com).
%E A006959 More terms, formula from Christian G. Bower (bowerc(AT)usa.net), Dec 
               15 1999.