DLMF:8.11.E17 (Q2590)

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DLMF:8.11.E17
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    S n ( - 1 ) - 1 2 + 1 8 n - 1 + 1 32 n - 2 - 1 128 n - 3 - 13 512 n - 4 + . asymptotic-expansion subscript 𝑆 𝑛 1 1 2 1 8 superscript 𝑛 1 1 32 superscript 𝑛 2 1 128 superscript 𝑛 3 13 512 superscript 𝑛 4 {\displaystyle{\displaystyle S_{n}(-1)\sim-\tfrac{1}{2}+\tfrac{1}{8}n^{-1}+% \tfrac{1}{32}n^{-2}-\tfrac{1}{128}n^{-3}-\tfrac{13}{512}n^{-4}+\dots.}}
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    DLMF:8.11.E17
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