DLMF:24.15.E12 (Q7569): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10754 / rank
 
Normal rank
Property / Symbols used: Q10754 / qualifier
 
test:

( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}

\binom{\NVar{m}}{\NVar{n}}
Property / Symbols used: Q10754 / qualifier
 
xml-id: C1.S2.SS1.m1abdec

Revision as of 00:49, 2 January 2020

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DLMF:24.15.E12
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    Statements

    test
    ∑ k = 0 ⌊ n / 2 ⌋ ( n 2 ⁢ k ) ⁢ ( 5 4 ) k ⁢ E 2 ⁢ k ⁢ v n - 2 ⁢ k = 1 2 n - 1 . superscript subscript 𝑘 0 𝑛 2 binomial 𝑛 2 𝑘 superscript 5 4 𝑘 Euler-number-E 2 𝑘 subscript 𝑣 𝑛 2 𝑘 1 superscript 2 𝑛 1 {\displaystyle{\displaystyle\sum_{k=0}^{\left\lfloor\ifrac{n}{2}\right\rfloor}% {n\choose 2k}\left(\frac{5}{4}\right)^{k}E_{2k}v_{n-2k}=\frac{1}{2^{n-1}}.}}
    0 references
    DLMF id
    DLMF:24.15.E12
    0 references
    Symbols used
    Q11238
    test
    E n Euler-number-E 𝑛 {\displaystyle{\displaystyle E_{\NVar{n}}}}
    xml-id
    C24.S2.SS2.m1adec
    0 references
    Q10754
    test
    ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}
    xml-id
    C1.S2.SS1.m1abdec
    0 references
     
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