DLMF:24.9.E6 (Q7502)

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DLMF:24.9.E6
No description defined

    Statements

    Defining formula
    5 ⁢ π ⁢ n ⁢ ( n π ⁢ e ) 2 ⁢ n > ( - 1 ) n + 1 ⁢ B 2 ⁢ n > 4 ⁢ π ⁢ n ⁢ ( n π ⁢ e ) 2 ⁢ n , 5 𝜋 𝑛 superscript 𝑛 𝜋 𝑒 2 𝑛 superscript 1 𝑛 1 Bernoulli-number-B 2 𝑛 4 𝜋 𝑛 superscript 𝑛 𝜋 𝑒 2 𝑛 {\displaystyle{\displaystyle 5\sqrt{\pi n}\left(\frac{n}{\pi e}\right)^{2n}>(-% 1)^{n+1}B_{2n}>4\sqrt{\pi n}\left(\frac{n}{\pi e}\right)^{2n},}}
    0 references
    DLMF id
    DLMF:24.9.E6
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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.m1abdec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2abdec
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    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2adec
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    Q12110
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C24.S1.XMD5.m1edec
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