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# Prove (or disprove): $$\sum_{n=1}^\infty \frac{n^m}{4^n}$$ is never an integer for integer $$m$$

Prove (or disprove): $$\sum_{n=1}^\infty \frac{n^m}{4^n}$$ is never an integer for integer $$m$$

Note by Pi Han Goh
7 months ago