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Formula:8166

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Digital Library of Mathematical Functions ID 24.6.E9

B n = ∑ k = 0 n 1 k + 1 ⁢ ∑ j = 0 k ( - 1 ) j ⁢ ( k j ) ⁢ j n , Bernoulli-number-B 𝑛 superscript subscript 𝑘 0 𝑛 1 𝑘 1 superscript subscript 𝑗 0 𝑘 superscript 1 𝑗 binomial 𝑘 𝑗 superscript 𝑗 𝑛 {\displaystyle{\displaystyle B_{n}=\sum_{k=0}^{n}\frac{1}{k+1}\sum_{j=0}^{k}(-% 1)^{j}{k\choose j}j^{n},}}


Constraint(s)

Symbols List

  • B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}} :
  • ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}} :
  • j 𝑗 {\displaystyle{\displaystyle j}} : integer
  • k 𝑘 {\displaystyle{\displaystyle k}} : integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  •  Edit this on Wikidata

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