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Formula:405

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Digital Library of Mathematical Functions ID 1.12.E8

C n - C n - 1 = ( - 1 ) n - 1 ⁒ ∏ k = 1 n a k B n - 1 ⁒ B n , subscript 𝐢 𝑛 subscript 𝐢 𝑛 1 superscript 1 𝑛 1 subscript superscript product 𝑛 π‘˜ 1 subscript π‘Ž π‘˜ subscript 𝐡 𝑛 1 subscript 𝐡 𝑛 {\displaystyle{\displaystyle C_{n}-C_{n-1}=\frac{(-1)^{n-1}\prod^{n}_{k=1}a_{k% }}{B_{n-1}B_{n}},}}


Constraint(s)

n = 1 , 2 , 3 , … 𝑛 1 2 3 … {\displaystyle{\displaystyle n=1,2,3,\dots}}

Symbols List

  • k π‘˜ {\displaystyle{\displaystyle k}} : integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • B n subscript 𝐡 𝑛 {\displaystyle{\displaystyle B_{n}}} : n th denominator
  • C n ⁒ ( w ) subscript 𝐢 𝑛 𝑀 {\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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