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A122720 Number of free generators of degree n of the primitive Lie algebra of the Hopf algebra of parking functions. 0
1, 2, 9, 80, 901, 12564, 206476, 3918025, 84365187, 2034559143, 54368676801, 1595658565373, 51047106371364, 1768603440179357, 65989972332973985, 2638631743605048505, 112577601627965445007, 5105398784598085609386 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

LINKS

J.-C. Novelli and J.-Y. Thibon, Hopf algebras and dendriform structures arising from parking functions

FORMULA

Generating function: sum a(n)*t^n = 1-product((1-t^i)^c(i),i>=1), where c(i) is the number of connected parking functions of length i.

CROSSREFS

Sequence in context: A111196 A056918 A194471 * A109519 A193208 A135868

Adjacent sequences:  A122717 A122718 A122719 * A122721 A122722 A122723

KEYWORD

nonn

AUTHOR

Jean-Yves Thibon (jyt(AT)univ-mlv.fr), Oct 22 2006, Oct 24 2006

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Last modified February 17 22:48 EST 2012. Contains 206085 sequences.