Mathematica: What is the meaning of the second line of the piecewise output of SeriesCoefficient?

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What is the meaning of the second line of the piecewise output of SeriesCoefficient?
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(mathematica.stackexchange.com/users/84497/tom-barson)Tom Barson
(mathematica.stackexchange.com/users/57495/roma-lee)Roma Lee
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series-expansion piecewise




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