%I A122826
%S A122826 1,1,2,10,55,377,2892,25007,239286,2514113,28781748,356825354,
%T A122826 4765183277,68227504423,1043012154681,16960950354371,292402844221089,
%U A122826 5327959744239694
%N A122826 Number of free generators of degree n of the primitive Lie algebra of 
               the Hopf algebra of Free quasi-symmetric functions (or Malvenuto-Reutenauer 
               algebra of permutations).
%H A122826 G. Duchamp, F. Hivert and J.-Y. Thibon, <a href="http://fr.arXiv.org/
               abs/math.CO/0105065">Noncommutative symmetric functions VI: Free 
               quasi-symmetric functions and related algebras</a>,Internat. J. Alg. 
               Comp. 12 (2002), 671-717
%H A122826 L. Foissy, <a href="http://fr.arXiv.org/abs/math.RA/0505207">Bidendriform 
               bialgebras, trees and free quasi-symmetric functions</a>
%F A122826 Generating function: 1-product( (1-t^n)^c(n),n>=1 ), where c(n) is the 
               number of connected permutations of [n] (sequence A003319)
%Y A122826 Sequence in context: A102536 A163909 A152395 this_sequence A108490 A165817 
               A000172
%Y A122826 Adjacent sequences: A122823 A122824 A122825 this_sequence A122827 A122828 
               A122829
%K A122826 nonn
%O A122826 1,3
%A A122826 Jean-Yves Thibon (jyt(AT)univ-mlv.fr), Oct 23 2006, Oct 24 2006