How many days will i stay out from sunlight after taking doxycycline?

Probably none: Doxycycline can cause photosensitivity, i.e. increased susceptibility to sunburn. But usually it does not. Most people taking doxycycline do not need to avoid being in the sun. Just be aware if you start to get redness or pain sooner than expected. And after you stop taking doxy, it's gone from your system in about 36-48 hours, and for sure being in the sun is then OK.