%I A003227 M2744
%S A003227 1,1,3,8,22,58,160,434,1204,3341,9363,26308,74376,210823,599832,
%T A003227 1710803,4891876,14015505,40231632,115669419,333052242,960219982,
%U A003227 2771707332,8009222307,23166563032,67069289457,194332834601
%N A003227 Endpoints (leaves) in rooted trees with n nodes.
%D A003227 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A003227 R. W. Robinson and A. J. Schwenk, The distribution of trees in a large 
               random tree, Discr. Math., 12 (1975), 359-.
%H A003227 <a href="Sindx_Ro.html#rooted">Index entries for sequences related to 
               rooted trees</a>
%H A003227 <a href="Sindx_Tra.html#trees">Index entries for sequences related to 
               trees</a>
%H A003227 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               TreeLeaf.html">Link to a section of The World of Mathematics.</a>
%F A003227 a(n)=sum{k=1 to n} k*A055277(n, k)
%Y A003227 Cf. A000081, A003228, A055277.
%Y A003227 Sequence in context: A027243 A110239 A001853 this_sequence A077848 A055887 
               A024581
%Y A003227 Adjacent sequences: A003224 A003225 A003226 this_sequence A003228 A003229 
               A003230
%K A003227 nonn
%O A003227 1,3
%A A003227 N. J. A. Sloane (njas(AT)research.att.com).
%E A003227 Corrected and extended with formula by Christian G. Bower (bowerc(AT)usa.net), 
               May 25 2000