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Erdős problem 260

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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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Problem row
sha256:687f1b503079cf67fa500c1f3efc1c3a1e52e7947386c774f8c3a4d6e6b1378b
Metadata
sha256:ca6055983ea816ef3e6213e94d6ec0ed441aca1200a55a655ee3e5ce5de5e477
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:017dfbf2244843e5a58424b8289500ac433e67144d50b42feb60fae9cea3d164
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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