Worked great the first time for me too, but over the years (suffered with UP for twelve years), I became prednisone dependent. You do NOT want that to happen. The taper sounds ok. I was on a 5 mgm per week taper, so it was a bit slower.
Very important to take calcium with D while on the prednisone. My GI doctor failed to tell me that and I now have full blown osteoporosis.