{"schema":"vela.problem-packet.v0.1","problem":247,"statement":"Let $1\\leq a_1<a_2<\\cdots$ be a sequence of integers such that\\[\\limsup \\frac{a_n}{n}=\\infty.\\]Is\\[\\sum_{n=1}^\\infty \\frac{1}{2^{a_n}}\\]transcendental?","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)"}