Hello Math-Fun and SeqFans, I would like to come back to this, if you don't mind (this was one year ago): http://www.groupsrv.com/hobby/about405191.html Ed Murphy had asked (quote): -----
What if d = abs(a(n+1)+a(n)), i.e. the sequence is not necessarily monotonically increasing? Which choices for a(1) result in a block? Which choices result in a loop?
Sample sequence: 1, 12, 35, 94, 135, 78, 159, 251, 239, 148, 62, 91, 74, 115, 166, 105, 156, 88, 4, 48, 129, 221, 209, 118, 199,... ----- [Me]: -- Could someone check if the sequence starting with a(1)=1 ever enters a loop (should we always keep the terms as low as possible -- although we would still avoid blocks)? -- Is there a seq which could be a loop by itself? a-->b-->c-->d-->e-->f-->a Best, É.