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A141142 Numerators of power series arising in random graphs. +0
2
-1, 2, -4, 44, -104, 40, -7648 (list; graph; listen)
OFFSET

1,2

COMMENT

Denominators are A141143. Series given in Bouchard and Marino 2.31, p. 5, with citations to earlier literature.

LINKS

Vincent Bouchard and Marcos Marino, Hurwitz numbers, matrix models and enumerative geometry, (replaced) June 8, 2008.

FORMULA

Power series s(z) defined by (1+z)e^(-z) = (1 + s(z))e^(-s(z)).

EXAMPLE

s(z) = -z + (2/3)*z^2 - (4/9)*z^3 + (44/135)*z^4 - (104/405)*z^5 + (40/189)*z^6 - (7648/42525)*z^7 + O(z^8).

CROSSREFS

Cf. A141143.

Adjacent sequences: A141139 A141140 A141141 this_sequence A141143 A141144 A141145

Sequence in context: A009717 A018317 A059794 this_sequence A007596 A050588 A105282

KEYWORD

frac,more,sign

AUTHOR

Jonathan Vos Post (jvospost3(AT)gmail.com), Jun 10 2008

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Last modified October 6 16:13 EDT 2008. Contains 144667 sequences.


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