DLMF:24.14.E12 (Q7557)

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DLMF:24.14.E12
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    Statements

    Defining formula
    det ⁡ [ E r + s ] = ( - 1 ) n ⁢ ( n + 1 ) / 2 ⁢ ( ∏ k = 1 n k ! ) 2 . delimited-[] Euler-number-E 𝑟 𝑠 superscript 1 𝑛 𝑛 1 2 superscript superscript subscript product 𝑘 1 𝑛 𝑘 2 {\displaystyle{\displaystyle\det[E_{r+s}]=(-1)^{n(n+1)/2}\left(\prod_{k=1}^{n}% k!\right)^{2}.}}
    0 references
    DLMF id
    DLMF:24.14.E12
    0 references
    Symbols used
    Q11238
    Defining formula
    E n Euler-number-E 𝑛 {\displaystyle{\displaystyle E_{\NVar{n}}}}
    xml-id
    C24.S2.SS2.m1acdec
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    Q10765
    Defining formula
    det {\displaystyle{\displaystyle\det}}
    xml-id
    C1.S3.SS1.m1aadec
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    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5aedec
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