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A141143 Denominators of power series arising in random graphs. +0
2
1, 3, 9, 135, 405, 189, 42525 (list; graph; listen)
OFFSET

1,2

COMMENT

Numerators are A141142. 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. A141142.

Adjacent sequences: A141140 A141141 A141142 this_sequence A141144 A141145 A141146

Sequence in context: A018778 A082606 A062702 this_sequence A082707 A087193 A101967

KEYWORD

frac,more,nonn

AUTHOR

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

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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