{"schema":"vela.problem-packet.v0.1","problem":791,"statement":"Let $g(n)$ be minimal such that there exists $A\\subseteq \\{0,\\ldots,n\\}$ of size $g(n)$ with $\\{0,\\ldots,n\\}\\subseteq A+A$. Estimate $g(n)$. In particular is it true that $g(n)\\sim 2n^{1/2}$?","status":"open","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[{"id":"A066063","name":"Size of the smallest subset S of T={0,1,2,...,n} such that each element of T is the sum of two elements of S.","terms":"1,2,2,3,3,4,4,4,4,5,5,5,5,6,6,6,6,7,7,7,7,8,8,8,8,8,8,9,9,9,9,9,9,10,10,10,10,10,10,10,10,11,11,11,11,11,11,12,12,12,12","url":"https://oeis.org/A066063"}],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}