id:A122705 - OEIS Search Results

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Dimension of the space of totally primitive elements of degree n in the Hopf algebra of parking functions, regarded as a bidendriform algebra.

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1, 1, 7, 66, 786, 11278, 189391, 3648711, 79447316, 1932031529, 51960823060, 1532677854679, 49230269360973, 1711283608441418, 64026421121769925, 2566049037080050383, 109697901581313774979, 4983343674745936406410 (list; graph; listen)

	OFFSET	`1,3`
	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 = (f(t)-1)/(f(t)^2) where f(t) = 1 + sum ( (n+1)^(n-1)t^n, n >=1)`
	MAPLE	`f:=proc(N); 1+sum((n+1)^(n-1)*t^n, n=1..N); end; g:=proc(N); taylor( (f(N)-1)/(f(N)^2), t, N+1); end; a:=proc(n); coeff(g(n), t, n); end;`
	CROSSREFS	`Sequence in context: A152525 A109779 A065097 this_sequence A024395 A003286 A052351` `Adjacent sequences: A122702 A122703 A122704 this_sequence A122706 A122707 A122708`
	KEYWORD	`nonn`
	AUTHOR	`Jean-Yves Thibon (jyt(AT)univ-mlv.fr), Oct 22 2006`

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Last modified December 13 23:45 EST 2009. Contains 170824 sequences.

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