DLMF:1.12.E8 (Q436)

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DLMF:1.12.E8
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    Statements

    Defining formula
    C n - C n - 1 = ( - 1 ) n - 1 ⁢ ∏ k = 1 n a k B n - 1 ⁢ B n , subscript 𝐶 𝑛 subscript 𝐶 𝑛 1 superscript 1 𝑛 1 subscript superscript product 𝑛 𝑘 1 subscript 𝑎 𝑘 subscript 𝐵 𝑛 1 subscript 𝐵 𝑛 {\displaystyle{\displaystyle C_{n}-C_{n-1}=\frac{(-1)^{n-1}\prod^{n}_{k=1}a_{k% }}{B_{n-1}B_{n}},}}
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    DLMF id
    DLMF:1.12.E8
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    comment
    Warning: Falling back to standard tex;
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    constraint
    n = 1 , 2 , 3 , … 𝑛 1 2 3 … {\displaystyle{\displaystyle n=1,2,3,\dots}}
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    Symbols used
    Q10756
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C1.S1.XMD4.m1bdec
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    Q10757
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C1.S1.XMD7.m1cdec
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    Q10854
    Defining formula
    B n subscript 𝐵 𝑛 {\displaystyle{\displaystyle B_{n}}}
    xml-id
    C1.S12.XMD4.m1ddec
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