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Formula:8247

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Digital Library of Mathematical Functions ID 24.14.E9

∑ ( 2 ⁢ n ) ! ( 2 ⁢ j ) ! ⁢ ( 2 ⁢ k ) ! ⁢ ( 2 ⁢ ℓ ) ! ⁢ E 2 ⁢ j ⁢ E 2 ⁢ k ⁢ E 2 ⁢ ℓ = 1 2 ⁢ ( E 2 ⁢ n - E 2 ⁢ n + 2 ) . 2 𝑛 2 𝑗 2 𝑘 2 ℓ Euler-number-E 2 𝑗 Euler-number-E 2 𝑘 Euler-number-E 2 ℓ 1 2 Euler-number-E 2 𝑛 Euler-number-E 2 𝑛 2 {\displaystyle{\displaystyle\sum\frac{(2n)!}{(2j)!(2k)!(2\ell)!}E_{2j}E_{2k}E_% {2\ell}=\tfrac{1}{2}\left(E_{2n}-E_{2n+2}\right).}}


Constraint(s)

Symbols List

  • E n Euler-number-E 𝑛 {\displaystyle{\displaystyle E_{\NVar{n}}}} :
  • ! {\displaystyle{\displaystyle!}} :
  • j 𝑗 {\displaystyle{\displaystyle j}} : integer
  • k 𝑘 {\displaystyle{\displaystyle k}} : integer
  • ℓ ℓ {\displaystyle{\displaystyle\ell}} : integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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