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Formula:8407

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Digital Library of Mathematical Functions ID 25.11.E40

G ≡ ∑ n = 0 ∞ ( - 1 ) n ( 2 ⁢ n + 1 ) 2 = 0.91596 55941 772 ⁢ … . equal-by definition 𝐺 superscript subscript 𝑛 0 superscript 1 𝑛 superscript 2 𝑛 1 2 0.91596 55941 772 … {\displaystyle{\displaystyle G\equiv\sum_{n=0}^{\infty}\frac{(-1)^{n}}{(2n+1)^% {2}}=0.91596\;55941\;772\dots.}}


Constraint(s)

Symbols List

  • ≡ equal-by definition {\displaystyle{\displaystyle\equiv}} :
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • G 𝐺 {\displaystyle{\displaystyle G}} : Catalan’s constant
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