My mom knitted these for my 2 year old. My 2 year old adores them, I think there are two main reasons, she can put them on and take them off her self and does so frequently (no heel that has to be put in the right place). I was afraid that she wouldn´t use them as they are thick and a bit itchy but it doesn´t bother her at all, she wears them directly on her skin.
pattern could be this: http://www.ravelry.com/patterns/library/spiral-knit-tube-socks
or this: http://www.ravelry.com/patterns/library/newborn-spiral-rib-tube-sock
Pattern was something my mom had on a piece of paper , no idea where she got it from. I think the yarn is dale baby and some other yarn.