{"schema":"vela.problem-packet.v0.1","problem":378,"statement":"Let $r\\geq 0$. Does the density of integers $n$ for which $\\binom{n}{k}$ is squarefree for at least $r$ values of $1\\leq k<n$ exist? Is this density $>0$?","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)"}