{"schema":"vela.problem-packet.v0.1","problem":862,"statement":"Let $A_1(N)$ be the number of maximal Sidon subsets of $\\{1,\\ldots,N\\}$. Is it true that\\[A_1(N) < 2^{o(N^{1/2})}?\\]Is it true that\\[A_1(N) > 2^{N^c}\\]for some constant $c&#62;0$?","status":"solved","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[{"id":"A382395","name":"Number of maximum sized subsets of {1..n} such that every pair of distinct elements has a different difference.","terms":"1,1,1,3,2,6,14,2,10,26,60,110,4,22,68,156,320,584,8,24,80,206,504,1004,1910,3380,10,34,98,282,760,1618,3334,6360,11482,2","url":"https://oeis.org/A382395"}],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}