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A141313
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Number of connected 2-colored parking functions.
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2
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2, 8, 88, 1472, 32448, 882880, 28551808, 1070280960, 45665892352, 2186865540096, 116223603417088, 6791553234501632, 432959358513586176, 29910735011660087296, 2226409203503868313600, 177664150563678920245248
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OFFSET
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1,1
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COMMENTS
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Number of generators of degree n of the Hopf algebra of 2-colored parking functions. Also, dimensions of the graded components of the primitive Lie algebra of the same Hopf algebra.
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LINKS
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FORMULA
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MAPLE
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2^n*op(n, INVERTi([seq((k+1)^(k-1), k=1..n)]))
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MATHEMATICA
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terms = 16;
s = (1 - 1/(1 + Sum[(n+1)^(n-1)*t^n, {n, 1, terms}]))/t + O[t]^terms;
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CROSSREFS
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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), Jun 26 2008
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STATUS
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approved
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