DLMF:24.2.E9 (Q7408)

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DLMF:24.2.E9
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    Statements

    test
    E n = 2 n ⁢ E n ⁡ ( 1 2 ) = integer , Euler-number-E 𝑛 superscript 2 𝑛 Euler-polynomial-E 𝑛 1 2 integer {\displaystyle{\displaystyle E_{n}=2^{n}E_{n}\left(\tfrac{1}{2}\right)=\text{% integer},}}
    0 references
    DLMF id
    DLMF:24.2.E9
    0 references
    Symbols used
    Q11238
    test
    E n Euler-number-E 𝑛 {\displaystyle{\displaystyle E_{\NVar{n}}}}
    xml-id
    C24.S2.SS2.m1abdec
    0 references
    Q12114
    test
    E n ⁡ ( x ) Euler-polynomial-E 𝑛 𝑥 {\displaystyle{\displaystyle E_{\NVar{n}}\left(\NVar{x}\right)}}
    xml-id
    C24.S2.SS2.m2aadec
    0 references
    Q12110
    test
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C24.S1.XMD5.m1hdec
    0 references
     
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