{"schema":"vela.problem-packet.v0.1","problem":260,"statement":"Let $a_1<a_2<\\cdots$ be an increasing sequence such that $a_n/n\\to \\infty$. Is the sum\\[\\sum_n \\frac{a_n}{2^{a_n}}\\]irrational?","status":"open","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}