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Erdős problem 260

Let a1<a2<⋯a_1 < a_2 < \cdots be an increasing sequence such that ann→∞\frac{a_n}{n} \to \infty. Is the sum ∑n∞an2an\sum_{n}^{\infty} \frac{a_n}{2^{a_n}} irrational?

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sha256:687f1b503079cf67fa500c1f3efc1c3a1e52e7947386c774f8c3a4d6e6b1378b
Metadata
sha256:ca6055983ea816ef3e6213e94d6ec0ed441aca1200a55a655ee3e5ce5de5e477
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
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sha256:017dfbf2244843e5a58424b8289500ac433e67144d50b42feb60fae9cea3d164
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sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
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2415f78e850aeee50afdca525c6f2e0ea606f207
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