{"schema":"vela.problem-packet.v0.1","problem":297,"statement":"Let $N\\geq 1$. How many $A\\subseteq \\{1,\\ldots,N\\}$ are there such that $\\sum_{n\\in A}\\frac{1}{n}=1$?","status":"solved","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[{"id":"A092670","name":"a(n) = number of Egyptian fractions 1 = 1/x_1 + ... + 1/x_k (for any k), 0<x_1<...<x_k<=n.","terms":"1,1,1,1,1,2,2,2,2,2,2,3,3,3,6,6,6,11,11,22,22,22,22,41,41,41,41,114,114,200,200,200,363,363,566,852,852,852,852,1655,165","url":"https://oeis.org/A092670"}],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}