It depends on what type of song your trying to play. The pattern has to fit the tune. A lot of older folk guitar books etc. have some great picking patterns which you can adapt to uke. Presently I'm working on playing "Hallelujah"by Leonard Cohen. I listened to it and found an "arpeggio" pattern fitted the way I wanted to play it.
Now someone else may want to play it a different way, and use another pattern.