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A122705
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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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2
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1, 1, 7, 66, 786, 11278, 189391, 3648711, 79447316, 1932031529, 51960823060, 1532677854679, 49230269360973, 1711283608441418, 64026421121769925, 2566049037080050383, 109697901581313774979, 4983343674745936406410
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OFFSET
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1,3
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LINKS
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Table of n, a(n) for n=1..18.
J.-C. Novelli and J.-Y. Thibon, Hopf algebras and dendriform structures arising from parking functions
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FORMULA
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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)
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MAPLE
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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;
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PROG
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(PARI) lista(m) = {t = u + O(u^(m+1)); P = 1 + sum(n=1, m, (n+1)^(n-1)*t^n); Q = (P-1)/P^2; for (n=1, m, print1(polcoeff(Q, n, u), ", ")); } \\ Michel Marcus, Feb 12 2013
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CROSSREFS
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Sequence in context: A109779 A179880 A065097 * A185181 A024395 A215077
Adjacent sequences: A122702 A122703 A122704 * A122706 A122707 A122708
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KEYWORD
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nonn
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AUTHOR
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Jean-Yves Thibon (jyt(AT)univ-mlv.fr), Oct 22 2006
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STATUS
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approved
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