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  1. What is the simplest way to get Bernoulli numbers?

    Jul 8, 2018 · Bernoulli numbers are tabulated in many places. Do you really need to calculate them, or just to read them from someone else's source?

  2. Bernoulli numbers generating function: $\frac {t} {e^t-1}=\sum_ {n=1 ...

    Generally that's a definition of the Bernoulli numbers. If that's not the definition for you, and neither is the recurrence relation, then you'll have to specify what definition you are operating on.

  3. Bernoulli numbers, taylor series expansion of tan x

    Bernoulli numbers, taylor series expansion of tan x Ask Question Asked 8 years, 11 months ago Modified 6 years, 1 month ago

  4. What is sum of the Bernoulli numbers? - Mathematics Stack Exchange

    Oct 23, 2013 · On page 5 you can find the definition of a matrix, which contains the bernoulli-numbers and indicated cofactors; this matrix contains the coefficients of the integrals of the Bernoulli …

  5. Formula for Stirling numbers expressed with Bernoulli numbers?

    Dec 14, 2021 · Well, one way is comparing the exp. generating function of negative Bernoulli with the one of Stirling numbers of second kind. But that seems like a pain to even write.

  6. Why did we change the definition of the Bernoulli numbers?

    Jun 24, 2025 · Most of the formulas involving the Bernoulli numbers seem to work so much more nicely with the first one, even the ones concerning the zeta-function. I can't seem to find the first ressource …

  7. real analysis - Calculating Bernoulli Numbers from $\sum\limits_ {n=0 ...

    Aug 23, 2020 · The Bernoulli numbers are famous enough to have their own webpage. It gathers much that is known about them, and gives an efficient program to compute them (open source, under GPL).

  8. How do we get the final formula of the Bernoulli number?

    Mar 29, 2017 · However, manipulations at this formula can be made to related it to known, simpler and proven relations between binomial-coefficients and Bernoulli-numbers, if that is what you want.

  9. Power Series With Bernoulli Numbers - Mathematics Stack Exchange

    Power Series With Bernoulli Numbers Ask Question Asked 12 years, 11 months ago Modified 4 years, 2 months ago

  10. calculus - Proving the odd Bernoulli numbers are zero - Mathematics ...

    Jul 5, 2012 · Proving the odd Bernoulli numbers are zero Ask Question Asked 14 years, 8 months ago Modified 13 years, 6 months ago