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Formula:426

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Digital Library of Mathematical Functions ID 1.12.E24

a 1 + b 0 ⁢ b 1 b 1 - a 1 ⁢ a 2 ⁢ b 3 / b 1 a 2 ⁢ b 3 + b 1 ⁢ ( a 3 + b 2 ⁢ b 3 ) - a 3 ⁢ a 4 ⁢ b 1 ⁢ b 5 a 4 ⁢ b 5 + b 3 ⁢ ( a 5 + b 4 ⁢ b 5 ) - a 5 ⁢ a 6 ⁢ b 3 ⁢ b 7 a 6 ⁢ b 7 + b 5 ⁢ ( a 7 + b 6 ⁢ b 7 ) - ⋯ . subscript 𝑎 1 subscript 𝑏 0 subscript 𝑏 1 subscript 𝑏 1 continued-fraction subscript 𝑎 1 subscript 𝑎 2 subscript 𝑏 3 subscript 𝑏 1 subscript 𝑎 2 subscript 𝑏 3 subscript 𝑏 1 subscript 𝑎 3 subscript 𝑏 2 subscript 𝑏 3 continued-fraction subscript 𝑎 3 subscript 𝑎 4 subscript 𝑏 1 subscript 𝑏 5 subscript 𝑎 4 subscript 𝑏 5 subscript 𝑏 3 subscript 𝑎 5 subscript 𝑏 4 subscript 𝑏 5 continued-fraction subscript 𝑎 5 subscript 𝑎 6 subscript 𝑏 3 subscript 𝑏 7 subscript 𝑎 6 subscript 𝑏 7 subscript 𝑏 5 subscript 𝑎 7 subscript 𝑏 6 subscript 𝑏 7 ⋯ {\displaystyle{\displaystyle\frac{a_{1}+b_{0}b_{1}}{b_{1}}-\cfrac{a_{1}a_{2}b_% {3}/b_{1}}{a_{2}b_{3}+b_{1}(a_{3}+b_{2}b_{3})-\cfrac{a_{3}a_{4}b_{1}b_{5}}{a_{% 4}b_{5}+b_{3}(a_{5}+b_{4}b_{5})-\cfrac{a_{5}a_{6}b_{3}b_{7}}{a_{6}b_{7}+b_{5}(% a_{7}+b_{6}b_{7})-\cdots}}}.}}


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