I've noticed that several streamers, when starting blue side, take krugs then red buff as their second camp. I have always done krugs--> raptors--> red when blue side, so as to have smite up and get the hp from the buff. I was wondering what the advantage of starting krugs --> red is.
ganking earlier
Going red buff after krugs means you can stun red buf fairly often, meaning you wont really need smite for it.
the krugs buff lasts about as long as red buff if i remember correctly
this is where you can decide what to use your smite on
you can smite the wraiths to see wards
you can smite the wolves if you're a victim of counterjungling champs 
or you can be safe with a bit of extra defensive power when smiting gromp
the krug buff should usually be gone by your 4th camp depending on your clear speed
