5D 5B 4D 3B 3B 3B 3B
5D 5D 5D 5B 5B 5B 4D 3B 3B 3B 3B
5D* 5B* 4D 3B 3B 3B 3B

There are two tricks to make this sound good. The first two notes, 5D 5B, should be held for about two seconds each. In the next measure, the three 5D notes should be short and collectively take up the same amount of time as the one long 5D did earlier; likewise with the 5B notes. Finally, on the third measure, the notes with asterisks should be "warbled" or vibrated in some way...you can pulse your breath really fast or just shake the harmonica as you breathe. Listen to the song and you'll recognize the effect. In the original recording, it's also done on the first measure, but to a lesser extent.

Also note that very, very slight bends on the 5D notes may get you closer to the correct sound.

There's a good bit more to this riff and I'm trying to hammer out the rest of it. That solo in the middle is awesome, but it sounds awfully difficult to play.