Journal of Integer Sequences, Vol. 14 (2011), Article 11.4.8

An Asymptotic Expansion for the Bernoulli Numbers of the Second Kind

Gergő Nemes
Loránd Eötvös University
Pázmány Péter sétány 1/C
H-1117 Budapest


In this paper we derive a complete asymptotic series for the Bernoulli numbers of the second kind, and provide a recurrence relation for the coefficients.

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(Concerned with sequences A002206 A002207 A048994

Received January 7 2011; revised version received March 27 2011. Published in Journal of Integer Sequences, April 15 2011.

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