DLMF:26.14.E10 (Q7961): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older editNewer edit →
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10755 / rank
 
Normal rank
Property / Symbols used: Q10755 / qualifier
 
Defining formula:

! {\displaystyle{\displaystyle!}}

!
Property / Symbols used: Q10755 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r15.m5abdec

Revision as of 14:09, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:26.14.E10
No description defined

    Statements

    Defining formula
    ∑ k = 0 n - 1 ⟨ n k ⟩ = n ! , superscript subscript 𝑘 0 𝑛 1 Eulerian-number 𝑛 𝑘 𝑛 {\displaystyle{\displaystyle\sum_{k=0}^{n-1}\genfrac{<}{>}{0.0pt}{}{n}{k}=n!,}}
    0 references
    DLMF id
    DLMF:26.14.E10
    0 references
    constraint
    n ≥ 1 𝑛 1 {\displaystyle{\displaystyle n\geq 1}}
    0 references
    Symbols used
    Q12217
    Defining formula
    ⟨ n k ⟩ Eulerian-number 𝑛 𝑘 {\displaystyle{\displaystyle\genfrac{<}{>}{0.0pt}{}{\NVar{n}}{\NVar{k}}}}
    xml-id
    C26.S14.SS1.p3.m2agdec
    0 references
    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5abdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q7961&oldid=43975"