It's been awhile since I've played some anime! I've never watched this particular anime, but I know I've heard this song here and there. You can thank my sister for requesting this song. She's the one who watches a crapload of anime and tells me which songs I should play. :P
**SHEET MUSIC** http://josh.agarrado.net/music/anime/ Click on "F" at the top and find Full Moon wo Sagashite. There are several different versions of the sheet music -- I used Blitzwing01's transcription.