Sorry, I can't really recommend anything without more information. There's just too many variables. I briefly looked at the datasheet for the regulator and it

Sorry, I can't really recommend anything without more information. There's just too many variables. I briefly looked at the datasheet for the regulator and it has some constraints for the output cap that should help guide your choices. For example, you need to look at what temperature range you expect the regulator/cap combo to be working at, as certain dielectrics are sensitive to temperature changes [1]. If you need stability over a wide range, you might go with an X7R or better, otherwise X5R might do. You will also have to look at derating the capacitance for the operating temperature - you might find that in a hot environment you actually need a 47uF cap or greater to meet the minimum 22uF output capacitance requirement of the regulator. The other main thing to consider is operating voltage. The regulator you list is adjustable, so you will need to pick an output cap that has an appropriate capacitance at the voltage you plan to run the regulator at. The curves drop pretty steeply, so it's really important to analyze this. For ESR you should look at manufacturer websites. They often have a "picker" tool that shows graphs of that (it's dependent on frequency!). You probably won't have trouble finding caps with a low enough ESR value for this application as long as you stay away from electrolytics. Also, you can consider paralleling some lower value capacitors to achieve the capacitance you need, and reduce the ESR a little. I wouldn't use it as an ESR lowering strategy however [2] [1]: https://www.maximintegrated.com/en/app-notes/index.mvp/id/5527 https://www.maximintegrated.com/en/app-notes/index.mvp/id/55... [2]: http://electronics.stackexchange.com/questions/152549/esr-and-parallel-capacitors http://electronics.stackexchange.com/questions/152549/esr-an...