Jazz track from the end of The Cosby Show episode,"Claire's Place" AUDIO INCLUDED

I've been searching for the name of this track for a long time. I finally recorded a clip of it and put it up on youtube in hopes of someone else being able to identify it for me. So here I am.

Help!
Here is the link http://youtu.be/nBa5spcPsgk

It sounds like Ahmad Jamal"s though I maybe wrong.