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Formula:409

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Digital Library of Mathematical Functions ID 1.12.E12

b n = A n ⁒ B n - 2 - A n - 2 ⁒ B n A n - 1 ⁒ B n - 2 - A n - 2 ⁒ B n - 1 , subscript 𝑏 𝑛 subscript 𝐴 𝑛 subscript 𝐡 𝑛 2 subscript 𝐴 𝑛 2 subscript 𝐡 𝑛 subscript 𝐴 𝑛 1 subscript 𝐡 𝑛 2 subscript 𝐴 𝑛 2 subscript 𝐡 𝑛 1 {\displaystyle{\displaystyle b_{n}=\frac{A_{n}B_{n-2}-A_{n-2}B_{n}}{A_{n-1}B_{% n-2}-A_{n-2}B_{n-1}},}}


Constraint(s)

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

Symbols List

  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • A n subscript 𝐴 𝑛 {\displaystyle{\displaystyle A_{n}}} : n th numerator
  • B n subscript 𝐡 𝑛 {\displaystyle{\displaystyle B_{n}}} : n th denominator
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