DLMF:24.5.E8 (Q7460): Difference between revisions

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n = 1 , 2 , 𝑛 1 2 {\displaystyle{\displaystyle n=1,2,\dots}}

n=1,2,\dots
Property / constraint: n = 1 , 2 , 𝑛 1 2 {\displaystyle{\displaystyle n=1,2,\dots}} / rank
 
Normal rank

Revision as of 18:12, 30 December 2019

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DLMF:24.5.E8
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    k = 0 n 2 2 k B 2 k ( 2 k ) ! ( 2 n + 1 - 2 k ) ! = 1 ( 2 n ) ! , superscript subscript 𝑘 0 𝑛 superscript 2 2 𝑘 Bernoulli-number-B 2 𝑘 2 𝑘 2 𝑛 1 2 𝑘 1 2 𝑛 {\displaystyle{\displaystyle\sum_{k=0}^{n}\frac{2^{2k}B_{2k}}{(2k)!(2n+1-2k)!}% =\frac{1}{(2n)!},}}
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    DLMF:24.5.E8
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    n = 1 , 2 , 𝑛 1 2 {\displaystyle{\displaystyle n=1,2,\dots}}
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