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A141313 Number of connected 2-colored parking functions. +0
3
2, 8, 88, 1472, 32448, 882880, 28551808, 1070280960, 45665892352, 2186865540096, 116223603417088, 6791553234501632, 432959358513586176, 29910735011660087296, 2226409203503868313600, 177664150563678920245248 (list; graph; listen)
OFFSET

1,1

COMMENT

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.

LINKS

J.-C. Novelli and J.-Y. Thibon, Free quasi-symmetric functions and descent algebras for wreath products and noncommutative multi-symmetric functions

FORMULA

2^n*a(n) where a(n) is sequence A122708.

MAPLE

2^n*op(n, INVERTi([seq((k+1)^(k-1), k=1..n)]))

CROSSREFS

Sequence in context: A000532 A083831 A134245 this_sequence A009144 A132316 A136749

Adjacent sequences: A141310 A141311 A141312 this_sequence A141314 A141315 A141316

KEYWORD

nonn

AUTHOR

Jean-Yves Thibon (jyt(AT)univ-mlv.fr), Jun 26 2008

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Last modified November 30 22:12 EST 2008. Contains 150989 sequences.


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