This little ditty is 'Moanin' by Art Blakey & the Jazz Messengers.
Fans of Kids on the Slope will instantly know this song from the anime. I can only thank Yoko Kanno for introducing me to this great great Jazz song.
The anime is not bad too!
The you tube uploader of this video is right old piece of shit. Instead of embracing the many anime fans that are commenting on the anime, who are appreciating the jazz, he instead is 'purifying' the comments and deleting every anime fans comments. I was the 1st of many commenters hitting back at this idiot at how wrong it is to delete comments in this way, but he went ahead and deleted the new posts again for a second outing of purification. What a douchebag. Whats really ironic about all this is that the name of the uploader is called 60otaku3. Yup, he calls himself an otaku!
so far and counting, 26 comments by anime fans have been deleted, including some in Japanese.