We compute the exact irrationality exponents of certain series of rational numbers, first studied in a special case by Hone, by transforming them into suitable continued fractions.

中文翻译：

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广义 Hone 级数的非理性指数

我们通过将某些有理数序列转换为合适的连分数来计算某些有理数序列的精确无理指数，Hone 在一个特殊情况下首先研究了这些指数。