DLMF:26.6.E11 (Q7813)

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DLMF:26.6.E11
No description defined

    Statements

    Defining formula
    M ⁢ ( n ) = M ⁢ ( n - 1 ) + ∑ k = 2 n M ⁢ ( k - 2 ) ⁢ M ⁢ ( n - k ) , 𝑀 𝑛 𝑀 𝑛 1 superscript subscript 𝑘 2 𝑛 𝑀 𝑘 2 𝑀 𝑛 𝑘 {\displaystyle{\displaystyle M(n)=M(n-1)+\sum_{k=2}^{n}M(k-2)\,M(n-k),}}
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    DLMF id
    DLMF:26.6.E11
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    comment
    Warning: Falling back to standard tex;
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    constraint
    n ≥ 2 𝑛 2 {\displaystyle{\displaystyle n\geq 2}}
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    Symbols used
    Q12174
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C26.S1.XMD4.m1edec
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    Q12172
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C26.S1.XMD6.m1ndec
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    Motzkin number (locally)
    Defining formula
    M ⁢ ( n ) 𝑀 𝑛 {\displaystyle{\displaystyle M(n)}}
    xml-id
    C26.S6.XMD2.m1cdec
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