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Formula:406

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Digital Library of Mathematical Functions ID 1.12.E9

C n = b 0 + a 1 B 0 ⁢ B 1 - … + ( - 1 ) n - 1 ⁢ ∏ k = 1 n a k B n - 1 ⁢ B n . subscript 𝐶 𝑛 subscript 𝑏 0 subscript 𝑎 1 subscript 𝐵 0 subscript 𝐵 1 … superscript 1 𝑛 1 subscript superscript product 𝑛 𝑘 1 subscript 𝑎 𝑘 subscript 𝐵 𝑛 1 subscript 𝐵 𝑛 {\displaystyle{\displaystyle C_{n}=b_{0}+\frac{a_{1}}{B_{0}B_{1}}-\dots+(-1)^{% n-1}\frac{\prod^{n}_{k=1}a_{k}}{B_{n-1}B_{n}}.}}


Constraint(s)

Symbols List

  • k 𝑘 {\displaystyle{\displaystyle k}} : integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • B n subscript 𝐵 𝑛 {\displaystyle{\displaystyle B_{n}}} : n th denominator
  • C n ⁢ ( w ) subscript 𝐶 𝑛 𝑤 {\displaystyle{\displaystyle C_{n}(w)}} : continued fraction
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This page was last edited on 28 January 2024, at 11:30.
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