DLMF:26.6.E7 (Q7809): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Motzkin number (locally) / rank
 
Normal rank
Property / Symbols used: Motzkin number (locally) / qualifier
 
test:

M ⁢ ( n ) 𝑀 𝑛 {\displaystyle{\displaystyle M(n)}}

M(n)
Property / Symbols used: Motzkin number (locally) / qualifier
 
xml-id: C26.S6.XMD2.m1bdec

Revision as of 00:11, 2 January 2020

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DLMF:26.6.E7
No description defined

    Statements

    test
    ∑ n = 0 ∞ M ⁢ ( n ) ⁢ x n = 1 - x - 1 - 2 ⁢ x - 3 ⁢ x 2 2 ⁢ x 2 , superscript subscript 𝑛 0 𝑀 𝑛 superscript 𝑥 𝑛 1 𝑥 1 2 𝑥 3 superscript 𝑥 2 2 superscript 𝑥 2 {\displaystyle{\displaystyle\sum_{n=0}^{\infty}M(n)x^{n}=\frac{1-x-\sqrt{1-2x-% 3x^{2}}}{2x^{2}},}}
    0 references
    DLMF id
    DLMF:26.6.E7
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    Symbols used
    Q12172
    test
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C26.S1.XMD6.m1jdec
    0 references
    Motzkin number (locally)
    test
    M ⁢ ( n ) 𝑀 𝑛 {\displaystyle{\displaystyle M(n)}}
    xml-id
    C26.S6.XMD2.m1bdec
    0 references
     
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