Typically when I set up to shoot a sequence of images to make a time lapse animation, or a sequence of images to be used for star trails, I use my shortest focal length lens, set at it's largest aperture(f/stop), ISO 800, 25 to 30 second exposures with only 5 seconds between each. Only 5 seconds between each will make the transition much smoother. ISO 800 seems to be the optimal gain for both my EOS DSLR cameras allowing me to get plenty of stars in each exposure without too much noise.
If I only plan on doing star trails and not a time lapse animation, I'll shot longer exposures of about 40 to 50 seconds which will allow the stars to trail a bit on their own, still with only 5 seconds between each shot.
Additionally, you probably already have heard this, Don't use Long Exposure Noise Reduction. That will use up just as much time as your exposure for each shot, and, will leave too much spacing between the stars in each frame.
You can use High ISO Noise Reduction instead and set it to Strong.
If you have hot or cold pixels in your frames, you can shoot a couple darks and subtract them from your star trail image using photoshop.