I don't think you need a recipe as such, so long as you have a nice orange paint you like, or even just a decent pairing of primary red and yellow to mix to your preferred shade. The important thing though is that you start from white underpainting.
If you prime black, paint the orange parts in a good opaque white first, then your orange over that. Very few orange/yellows are opaque enough to go over black without being seriously darkened. You could go with an orange-brown over black undercoat, but it will be kinda dull looking. Going from a white undercoat will allow your yellows and oranges to be more vibrant.
Dull or vibrant are both legit choices depending on what you want of course.