That scene never gets old for me. Even Fred Astaire was a fan, apparently! But those "splits" - ouch!
About 20 years ago I was buying up the then new "Jazz in Paris" series and Nicholas was on one of them. Eight standards, all very enjoyable. I hadn't realized it was the same guy as the dancer though. Agreed about Nat King Cole btw. Just re-read the liners and apparently Nicholas "adored King Cole, Sinatra and Joe Williams".
This is the CD I have...
https://www.discogs.com/Harold-Nicholas-June-Richmond-Andy-Bey-Harold-Nicholas-June-Richmond-Andy-Bey/release/953500