DLMF:9.7#Ex1 (Q2808)

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DLMF:9.7#Ex1
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    Defining formula
    u k = ( 2 ⁢ k + 1 ) ⁢ ( 2 ⁢ k + 3 ) ⁢ ( 2 ⁢ k + 5 ) ⁢ ⋯ ⁢ ( 6 ⁢ k - 1 ) 216 k ⁢ k ! = ( 6 ⁢ k - 5 ) ⁢ ( 6 ⁢ k - 3 ) ⁢ ( 6 ⁢ k - 1 ) ( 2 ⁢ k - 1 ) ⁢ 216 ⁢ k ⁢ u k - 1 , subscript 𝑢 𝑘 2 𝑘 1 2 𝑘 3 2 𝑘 5 ⋯ 6 𝑘 1 superscript 216 𝑘 𝑘 6 𝑘 5 6 𝑘 3 6 𝑘 1 2 𝑘 1 216 𝑘 subscript 𝑢 𝑘 1 {\displaystyle{\displaystyle u_{k}=\frac{(2k+1)(2k+3)(2k+5)\cdots(6k-1)}{216^{% k}k!}=\frac{(6k-5)(6k-3)(6k-1)}{(2k-1)216k}u_{k-1},}}
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    DLMF:9.7#Ex1
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    Warning: Falling back to standard tex;
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