DLMF:24.5.E6 (Q7458): Difference between revisions

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Property / constraint
 

n = 2 , 3 , 𝑛 2 3 {\displaystyle{\displaystyle n=2,3,\dots}}

n=2,3,\dots
Property / constraint: n = 2 , 3 , 𝑛 2 3 {\displaystyle{\displaystyle n=2,3,\dots}} / rank
 
Normal rank

Revision as of 17:12, 30 December 2019

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DLMF:24.5.E6
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    Statements

    k = 2 n ( n k - 2 ) B k k = 1 ( n + 1 ) ( n + 2 ) - B n + 1 , superscript subscript 𝑘 2 𝑛 binomial 𝑛 𝑘 2 Bernoulli-number-B 𝑘 𝑘 1 𝑛 1 𝑛 2 Bernoulli-number-B 𝑛 1 {\displaystyle{\displaystyle\sum_{k=2}^{n}{n\choose k-2}\frac{B_{k}}{k}=\frac{% 1}{(n+1)(n+2)}-B_{n+1},}}
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    n = 2 , 3 , 𝑛 2 3 {\displaystyle{\displaystyle n=2,3,\dots}}
    0 references