Comment

Comment by Vincent Granville on August 3, 2008 at 4:59pm

Also, the graph was produced using Monte-Carlo simulations, sampling 15,000 values of (A,B), then analysing the 15,000 resulting sequences (each one computed up to the first 15,000 terms) to reliably identify converging vs. non converging sequences.

Comment by Vincent Granville on August 1, 2008 at 4:37pm

Note that when B=-1, the sequence seems not to have a supremum, although large values occur very rarely. When B=-2, the sequence is usually periodic (as n -> infinity), with a period 4. Other periods exist for other values of A and B.