|
| |
|
|
A141142
|
|
Numerators of power series arising in random graphs.
|
|
1
| | |
|
|
|
OFFSET
| 1,2
|
|
|
COMMENTS
| 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.
Sequence in context: A018317 A059794 A116611 * A007596 A050588 A105282
Adjacent sequences: A141139 A141140 A141141 * A141143 A141144 A141145
|
|
|
KEYWORD
| frac,more,sign
|
|
|
AUTHOR
| Jonathan Vos Post (jvospost3(AT)gmail.com), Jun 10 2008
|
| |
|
|
