{"schema":"vela.problem-packet.v0.1","problem":300,"statement":"Let $A(N)$ denote the maximal cardinality of $A\\subseteq \\{1,\\ldots,N\\}$ such that $\\sum_{n\\in S}\\frac{1}{n}\\neq 1$ for all $S\\subseteq A$. Estimate $A(N)$.","status":"solved","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[{"id":"A390393","name":"a(n) is the maximum size of a subset A of {1,...,n} such that Sum_{k in S} 1/k != 1 for all subsets S of A.","terms":"0,1,2,3,4,4,5,6,7,8,9,10,11,12,12,13,14,15,16,16,17,18,19,19,20,21,22,22,23,24,25,26,26,27,28,29,30,31,32,33,34,34,35,36","url":"https://oeis.org/A390393"}],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}