For example, the continued fraction for (F_101/F_100)^5 is [11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 1, 1, 90794738833061590639459393939482123846764, 1, 17, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 1, 4, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11].

It starts with many 11's, as one would expect, but then there's an interruption with a huge partial quotient. The 11's continue as if nothing had happened, only to get interrupted again, this time only with small numbers. Finally, there's another stretch of 11's. How weird!