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$\begingroup$ It is worth noticing that the analogous conclusion holds even with changing sign coefficients: if $a_m\in\mathbb{Z}$ and $|a_m|\le m-1$, the sum of the corresponding series is a rational number if and only if $a_m$ is either eventually equal to $0$, or eventually equal to $m-1$, or eventually equal to $-(m-1)$. $\endgroup$

Pietro Majer
– Pietro Majer

2016-01-07 09:37:55 +00:00
Commented Jan 7, 2016 at 9:37

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