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A141143 Denominators of power series arising in random graphs. 1
1, 3, 9, 135, 405, 189, 42525 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

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.

Sequence in context: A018778 A082606 A062702 * A163402 A082707 A087193

Adjacent sequences:  A141140 A141141 A141142 * A141144 A141145 A141146

KEYWORD

frac,more,nonn

AUTHOR

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

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Last modified February 14 23:53 EST 2012. Contains 205689 sequences.