DLMF:26.6.E11 (Q7813): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
 
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Property / constraint
 

n 2 𝑛 2 {\displaystyle{\displaystyle n\geq 2}}

n\geq 2
Property / constraint: n 2 𝑛 2 {\displaystyle{\displaystyle n\geq 2}} / rank
 
Normal rank
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.m1edec
Property / Symbols used
 
Property / Symbols used: Q12172 / rank
 
Normal rank
Property / Symbols used: Q12172 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q12172 / qualifier
 
xml-id: C26.S1.XMD6.m1ndec
Property / Symbols used
 
Property / Symbols used: Motzkin number (locally) / rank
 
Normal rank
Property / Symbols used: Motzkin number (locally) / qualifier
 
Defining formula:

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

M(n)
Property / Symbols used: Motzkin number (locally) / qualifier
 
xml-id: C26.S6.XMD2.m1cdec

Latest revision as of 01:12, 2 January 2020

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English
DLMF:26.6.E11
No description defined

    Statements

    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:26.6.E11
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    Warning: Falling back to standard tex;
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    n 2 𝑛 2 {\displaystyle{\displaystyle n\geq 2}}
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    k 𝑘 {\displaystyle{\displaystyle k}}
    C26.S1.XMD4.m1edec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C26.S1.XMD6.m1ndec
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    M ( n ) 𝑀 𝑛 {\displaystyle{\displaystyle M(n)}}
    C26.S6.XMD2.m1cdec
    0 references