i feel as if the shirts message is meant to be sarcastic . like it ' s mocking the kind of people who might say this thing . just imo tho . <| sep |> Both of these need some starting point , so I ' ll choose f 11 for simplicity , but it should be extendable to other starting points . For the first one , write down the first few points we can get from the rule F 11 , f 23 , f 49 , f 827 Each time the x doubles and the y triples y being fx . So we can write it asF 2030 , f 2131 , f 2232 . F 2 n 3 nSo if we let x 2 n , we have nlogx using log base 2 , and we ' re doneFx 3 logxSecond one goes about the same . I ' ll start with f 01 here I started at x 1 because the recurrence doesn ' t tell you much if you ' re doubling zero . F 0130 , f 1331 , f 2932 , f 32733 Fn 3 n