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DLMF:26.11.E3 - MaRDI portal

DLMF:26.11.E3 (Q8599)

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DLMF:26.11.E3
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    Statements

    DLMF defining formula
    c m ⁡ ( n ) = ( n - 1 m - 1 ) , number-of-compositions-C-into-parts 𝑚 𝑛 binomial 𝑛 1 𝑚 1 {\displaystyle{\displaystyle c_{m}\left(n\right)=\genfrac{(}{)}{0.0pt}{}{n-1}{% m-1},}}
    0 references
    Symbols used
    Q10728
    DLMF defining formula
    ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}
    xml-id
    C1.S2.SS1.m1adec
    0 references
    number of compositions of n into exactly m parts
    DLMF defining formula
    c m ⁡ ( n ) number-of-compositions-C-into-parts 𝑚 𝑛 {\displaystyle{\displaystyle c_{\NVar{m}}\left(\NVar{n}\right)}}
    xml-id
    C26.S11.p1.m5aadec
    0 references
    nonnegative integer
    DLMF defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C26.S1.XMD5.m1adec
    0 references
    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C26.S1.XMD6.m1dec
    0 references

    Identifiers

     
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