id:A122720 - OEIS Search Results

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Number of free generators of degree n of the primitive Lie algebra of the Hopf algebra of parking functions.

+0
1

1, 2, 9, 80, 901, 12564, 206476, 3918025, 84365187, 2034559143, 54368676801, 1595658565373, 51047106371364, 1768603440179357, 65989972332973985, 2638631743605048505, 112577601627965445007, 5105398784598085609386 (list; graph; listen)

	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: A121131 A111196 A056918 this_sequence A109519 A135868 A147302` `Adjacent sequences: A122717 A122718 A122719 this_sequence 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 November 25 20:09 EST 2009. Contains 167514 sequences.

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