New Orleans rhythms have a swinging feel about them, but the patterns here we'll look at first in a straight context. Once you've learnt the basic pattern you can give the pattern a swung feel by delaying any note that falls on an "e" or "a" 16th.

Here is our basic rhythm, it's just a 2 beat rhythm repeated. Start/lead with the RH and use alternating sticking..

From here buzz the last 2 16th notes of beat 2 (which is the same as beat 4)..