DLMF:1.12.E9 (Q406)

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DLMF:1.12.E9
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    Statements

    DLMF defining formula
    C n = b 0 + a 1 B 0 ⁢ B 1 - … + ( - 1 ) n - 1 ⁢ ∏ k = 1 n a k B n - 1 ⁢ B n . subscript 𝐶 𝑛 subscript 𝑏 0 subscript 𝑎 1 subscript 𝐵 0 subscript 𝐵 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}=b_{0}+\frac{a_{1}}{B_{0}B_{1}}-\dots+(-1)^{% n-1}\frac{\prod^{n}_{k=1}a_{k}}{B_{n-1}B_{n}}.}}
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    integer
    DLMF defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C1.S1.XMD4.m1cdec
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    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C1.S1.XMD7.m1ddec
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    n th denominator
    DLMF defining formula
    B n subscript 𝐵 𝑛 {\displaystyle{\displaystyle B_{n}}}
    xml-id
    C1.S12.XMD4.m1edec
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    continued fraction
    DLMF defining formula
    C n ⁢ ( w ) subscript 𝐶 𝑛 𝑤 {\displaystyle{\displaystyle C_{n}(w)}}
    xml-id
    C1.S12.XMD6.m1bdec
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    Identifiers

     
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