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Formula:8655

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Digital Library of Mathematical Functions ID 26.14.E11

B m = m 2 m ⁢ ( 2 m - 1 ) ⁢ ∑ k = 0 m - 2 ( - 1 ) k ⁢ ⟨ m - 1 k ⟩ , Bernoulli-number-B 𝑚 𝑚 superscript 2 𝑚 superscript 2 𝑚 1 superscript subscript 𝑘 0 𝑚 2 superscript 1 𝑘 Eulerian-number 𝑚 1 𝑘 {\displaystyle{\displaystyle B_{m}=\frac{m}{2^{m}(2^{m}-1)}\sum_{k=0}^{m-2}(-1% )^{k}\genfrac{<}{>}{0.0pt}{}{m-1}{k},}}


Constraint(s)

m ≥ 2 𝑚 2 {\displaystyle{\displaystyle m\geq 2}}

Symbols List

  • B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}} :
  • ⟨ n k ⟩ Eulerian-number 𝑛 𝑘 {\displaystyle{\displaystyle\genfrac{<}{>}{0.0pt}{}{\NVar{n}}{\NVar{k}}}} :
  • k 𝑘 {\displaystyle{\displaystyle k}} : nonnegative integer
  • m 𝑚 {\displaystyle{\displaystyle m}} : nonnegative integer
  •  Edit this on Wikidata

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