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DLMF:26.5.E4 - MaRDI portal

DLMF:26.5.E4 (Q8492)

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DLMF:26.5.E4
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    Statements

    DLMF defining formula
    C ⁡ ( n + 1 ) = 2 ⁢ ( 2 ⁢ n + 1 ) n + 2 ⁢ C ⁡ ( n ) , Catalan-number 𝑛 1 2 2 𝑛 1 𝑛 2 Catalan-number 𝑛 {\displaystyle{\displaystyle C\left(n+1\right)=\frac{2(2n+1)}{n+2}C\left(n% \right),}}
    0 references
    Symbols used
    Catalan number
    DLMF defining formula
    C ⁡ ( n ) Catalan-number 𝑛 {\displaystyle{\displaystyle C\left(\NVar{n}\right)}}
    xml-id
    C26.S5.E1.m2addec
    0 references
    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C26.S1.XMD6.m1ddec
    0 references

    Identifiers

     
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