DLMF:26.5.E3 (Q7798): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q12174 / rank
 
Normal rank
Property / Symbols used: Q12174 / qualifier
 
Defining formula:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q12174 / qualifier
 
xml-id: C26.S1.XMD4.m1dec

Revision as of 01:10, 2 January 2020

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DLMF:26.5.E3
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    Statements

    Defining formula
    C ⁡ ( n + 1 ) = ∑ k = 0 n C ⁡ ( k ) ⁢ C ⁡ ( n - k ) , Catalan-number 𝑛 1 superscript subscript 𝑘 0 𝑛 Catalan-number 𝑘 Catalan-number 𝑛 𝑘 {\displaystyle{\displaystyle C\left(n+1\right)=\sum_{k=0}^{n}C\left(k\right)C% \left(n-k\right),}}
    0 references
    DLMF id
    DLMF:26.5.E3
    0 references
    Symbols used
    Catalan number
    Defining formula
    C ⁡ ( n ) Catalan-number 𝑛 {\displaystyle{\displaystyle C\left(\NVar{n}\right)}}
    xml-id
    C26.S5.E1.m2acdec
    0 references
    Q12174
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C26.S1.XMD4.m1dec
    0 references
     
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