Actually that turned out to be a complete coincidence. John Lennon even went back through all the previous Beatles songs to that date to see if there were any more like that, it turned out to be the only one. Lucy In the Sky with Diamonds was simply a title derived from his son Jules, when coloring with crayons came up to his dad with a picture, when asked what it was he said: "it's lucy in the sky, and with diamonds". After that him and Paul went together to the studio writing verse after verse of weird but colorful verses, later adding a "psychedelic" tune to it all. Whether or not they were doing LSD at the time however is a complete mystery, though in an inter view in 1972 Paul did admit to "trying" it in the late 60's.