{"schema":"vela.problem-packet.v0.1","problem":320,"statement":"Let $S(N)$ count the number of distinct sums of the form $\\sum_{n\\in A}\\frac{1}{n}$ for $A\\subseteq \\{1,\\ldots,N\\}$. Estimate $S(N)$.","status":"open","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[{"id":"A072207","name":"a(0) = 1; for n>0, a(n) = number of distinct sums of subsets of {1, 1/2, 1/3, 1/4, ..., 1/n} (allowing the empty subset).","terms":"1,2,4,8,16,32,52,104,208,416,832,1664,1856,3712,7424,9664,19328,38656,59264,118528,126976,224128,448256,896512,936832,18","url":"https://oeis.org/A072207"}],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}