I would guess an I'm Feeling Lucky search as well. I suppose you could always try it out by constructing a search that would return you at #1, and then checking your server log. Let us know what you find out. :)
edit_g, I believe that typing in a domain directly (as opposed to searching for a domain) wouldn't show a referrer field. I think most browsers only show referrers when you follow a link. I could be wrong though--another quick experiment for someone to do and educate us! :)
It is the " I'm feeling lucky button " ...I've got a #1 which always gives me this one ..tested it myself the first time I used the "I'm feeling lucky" button ..I had no idea what the thing was for ..typed in my own targetted 2 keyword search term and hit the button got ..ME!...Went to look at my stats and there it was ..
Good to know, ciml. I guess every person that writes their own browser gets to decide under what conditions to pass on a referer (referrer? I never remember the right way to spell it.). Leosghost, thanks for the confirmation.