{"schema":"vela.problem-packet.v0.1","problem":358,"statement":"Let $A=\\{a_1<\\cdots\\}$ be an infinite sequence of integers. Let $f(n)$ count the number of solutions to\\[n=\\sum_{u\\leq i\\leq v}a_i.\\]Is there such an $A$ for which $f(n)\\to \\infty$ as $n\\to \\infty$? Or even where $f(n)\\geq 2$ for all large $n$?","status":"solved","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)"}