DLMF:24.6.E9 (Q7473)

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DLMF:24.6.E9
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    Statements

    test
    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},}}
    0 references
    DLMF id
    DLMF:24.6.E9
    0 references
    Symbols used
    Q11109
    test
    B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}}
    xml-id
    C24.S2.SS1.m1acdec
    0 references
    Q10754
    test
    ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}
    xml-id
    C1.S2.SS1.m1ahdec
    0 references
     
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