Journal of Integer Sequences, Vol. 23 (2020), Article 20.2.6

Two New Explicit Formulas for the Even-Indexed Bernoulli Numbers

Sumit Kumar Jha
International Institute of Information Technology
Hyderabad-500 032


We give two new explicit formulas for the even-indexed Bernoulli numbers in terms of the Stirling numbers of the second kind.

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(Concerned with sequences A000367 A002445 A008277 A027641 A027642.)

Received November 6 2019; revised versions received November 7 2019; January 19 2020; January 20 2020; January 23 2020; January 27 2020; February 10 2020; February 20 2020. Published in Journal of Integer Sequences, February 20 2020.

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