DLMF:24.15.E4 (Q7561)

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DLMF:24.15.E4
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    Statements

    Defining formula
    T 2 ⁢ n - 1 = ( - 1 ) n - 1 ⁢ 2 2 ⁢ n ⁢ ( 2 2 ⁢ n - 1 ) 2 ⁢ n ⁢ B 2 ⁢ n , subscript 𝑇 2 𝑛 1 superscript 1 𝑛 1 superscript 2 2 𝑛 superscript 2 2 𝑛 1 2 𝑛 Bernoulli-number-B 2 𝑛 {\displaystyle{\displaystyle T_{2n-1}=(-1)^{n-1}\frac{2^{2n}(2^{2n}-1)}{2n}B_{% 2n},}}
    0 references
    DLMF id
    DLMF:24.15.E4
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    constraint
    n = 1 , 2 , … 𝑛 1 2 … {\displaystyle{\displaystyle n=1,2,\dots}}
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    Symbols used
    Q11109
    Defining formula
    B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}}
    xml-id
    C24.S2.SS1.m1aadec
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    Q12110
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C24.S1.XMD5.m1cdec
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    Q12130
    Defining formula
    T n subscript 𝑇 𝑛 {\displaystyle{\displaystyle T_{n}}}
    xml-id
    C24.S15.XMD2.m1adec
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