|
Search: id:A122827
|
|
|
| A122827 |
|
Number of independent generators of degree n of the algebra of Free quasi-symmetric functions (or Malvenuto-Reutenauer algebra of permutations) as a dendriform dialgebra (i.e., number of totally primitive elements). |
|
+0
1
|
|
| 1, 0, 1, 6, 39, 284, 2305, 20682, 203651, 2186744, 25463925, 319989030, 4320183527, 62412737460, 961264517369, 15730347890082, 272650924761195, 4991218317261808
(list; graph; listen)
|
|
|
OFFSET
|
1,4
|
|
|
LINKS
|
G. Duchamp, F. Hivert and J.-Y. Thibon, Noncommutative symmetric functions VI: Free quasi-symmetric functions and related algebras,Internat. J. Alg. Comp. 12 (2002), 671-717
L. Foissy, Bidendriform bialgebras, trees and free quasi-symmetric functions
|
|
FORMULA
|
Generating function: (f(t)-1)/f(t)^2, where f(t)=sum(n!*t^n,n>=0)
|
|
CROSSREFS
|
Sequence in context: A068765 A006633 A153392 this_sequence A103194 A009018 A135890
Adjacent sequences: A122824 A122825 A122826 this_sequence A122828 A122829 A122830
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Jean-Yves Thibon (jyt(AT)univ-mlv.fr), Oct 23 2006
|
|
|
Search completed in 0.002 seconds
|
