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DLMF:26.6.E9 - MaRDI portal

DLMF:26.6.E9 (Q8504)

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DLMF:26.6.E9
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    Statements

    DLMF defining formula
    ∑ n = 0 ∞ r ⁢ ( n ) ⁢ x n = 1 - x - 1 - 6 ⁢ x + x 2 2 ⁢ x . superscript subscript 𝑛 0 𝑟 𝑛 superscript 𝑥 𝑛 1 𝑥 1 6 𝑥 superscript 𝑥 2 2 𝑥 {\displaystyle{\displaystyle\sum_{n=0}^{\infty}r(n)x^{n}=\frac{1-x-\sqrt{1-6x+% x^{2}}}{2x}.}}
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C26.S1.XMD6.m1ldec
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    Schröder number (locally)
    DLMF defining formula
    r ⁢ ( n ) 𝑟 𝑛 {\displaystyle{\displaystyle r(n)}}
    xml-id
    C26.S6.XMD4.m1bdec
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    small
    DLMF defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C26.S6.XMD5.m1ddec
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