{"schema":"vela.problem-packet.v0.1","problem":423,"statement":"Let $a_1=1$ and $a_2=2$ and for $k\\geq 3$ choose $a_k$ to be the least integer $>a_{k-1}$ which is the sum of at least two consecutive terms of the sequence. What is the asymptotic behaviour of this sequence?","status":"open","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[{"id":"A005243","name":"A self-generating sequence: start with 1 and 2, take all sums of any number of successive previous elements and adjoin them to the sequence. Repeat!","terms":"1,2,3,5,6,8,10,11,14,16,17,18,19,21,22,24,25,29,30,32,33,34,35,37,40,41,43,45,46,47,49,51,54,57,58,59,60,62,65,67,68,69,","url":"https://oeis.org/A005243"}],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}