DLMF:5.19.E2 (Q2202)

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DLMF:5.19.E2
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    a k = 2 k + 2 3 - 1 k + 1 2 - 1 k + 1 = ( 1 k + 1 - 1 k + 1 2 ) - 2 ( 1 k + 1 - 1 k + 2 3 ) . subscript 𝑎 𝑘 2 𝑘 2 3 1 𝑘 1 2 1 𝑘 1 1 𝑘 1 1 𝑘 1 2 2 1 𝑘 1 1 𝑘 2 3 {\displaystyle{\displaystyle a_{k}=\frac{2}{k+\frac{2}{3}}-\frac{1}{k+\frac{1}% {2}}-\frac{1}{k+1}=\left(\frac{1}{k+1}-\frac{1}{k+\frac{1}{2}}\right)-2\left(% \frac{1}{k+1}-\frac{1}{k+\frac{2}{3}}\right).}}
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    Warning: Falling back to standard tex;
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