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DLMF:26.18.E3 - MaRDI portal

DLMF:26.18.E3 (Q8679)

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DLMF:26.18.E3
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    Statements

    DLMF defining formula
    n ! + ∑ t = 1 n ( - 1 ) t ⁢ r t ⁢ ( B ) ⁢ ( n - t ) ! . 𝑛 superscript subscript 𝑡 1 𝑛 superscript 1 𝑡 subscript 𝑟 𝑡 𝐵 𝑛 𝑡 {\displaystyle{\displaystyle n!+\sum_{t=1}^{n}(-1)^{t}r_{t}(B)(n-t)!.}}
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    Q10729
    DLMF defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5adec
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    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C26.S1.XMD6.m1bdec
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    number of rook positions
    DLMF defining formula
    r j ⁢ ( B ) subscript 𝑟 𝑗 𝐵 {\displaystyle{\displaystyle r_{j}(B)}}
    xml-id
    C26.S15.XMD3.m1dec
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    subset
    DLMF defining formula
    B 𝐵 {\displaystyle{\displaystyle B}}
    xml-id
    C26.S18.XMD5.m1dec
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    Identifiers

     
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