DLMF:24.6.E11 (Q7475): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q11109 / rank
 
Normal rank
Property / Symbols used: Q11109 / qualifier
 
Defining formula:

B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}}

\BernoullinumberB{\NVar{n}}
Property / Symbols used: Q11109 / qualifier
 
xml-id: C24.S2.SS1.m1addec

Revision as of 01:32, 2 January 2020

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DLMF:24.6.E11
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    Statements

    B n = n 2 n ( 2 n - 1 ) k = 1 n j = 0 k - 1 ( - 1 ) j + 1 ( n k ) j n - 1 , Bernoulli-number-B 𝑛 𝑛 superscript 2 𝑛 superscript 2 𝑛 1 superscript subscript 𝑘 1 𝑛 superscript subscript 𝑗 0 𝑘 1 superscript 1 𝑗 1 binomial 𝑛 𝑘 superscript 𝑗 𝑛 1 {\displaystyle{\displaystyle B_{n}=\frac{n}{2^{n}(2^{n}-1)}\sum_{k=1}^{n}\sum_% {j=0}^{k-1}(-1)^{j+1}{n\choose k}j^{n-1},}}
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    DLMF:24.6.E11
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    B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}}
    C24.S2.SS1.m1addec
    0 references