The newborn cap is done, and I'm very fond of it. The pattern around the brim turned out nicely, I think, although maybe not as baskety as I imagined it. Baskety or not, I think it would be especially nice on a larger person of the male persuasion (although this hat is, I've learned, for a girl! I am resisting the inexplicable urge to stick a flower or a bow on it).
This hat is done in Madelinetosh's Tosh DK in "Worn Denim", which I have to knit on size 5 (3.75mm) to get 21sts/4". The stitch pattern for the brim is:
Round 1: k1, p1, k1, p1, k1, p5
Round 2: k1, p1, k1, p1, k1, k5
Round 3: as for round 1
Round 4: as for round 2
Round 5: as for round 1
Round 6: p5, k1, p1, k1, p1, k1
Round 7: k5, k1, p1, k1, p1, k1
Round 8: as for round 6
Round 9: as for round 7
Round 10: as for round 6
I used Knittrick to determine the number of stitches to cast on, plugging in my stitch gauge and the repeat multiple (each line of the stitch pattern has instructions covering 10 stitches, so it needs to be worked over multiples of 10 in the round; flat you could get away with multiples of 5, in the same way as I only worked 15 rounds of the pattern on the brim, not 10 or 20) and the desired size of 14":
You can see that Knittrick recommended I cast on 70 stitches, even though this would give me a size of only 13.33" (this is the closest I can get to 14" with this gauge and the 10 stitch repeat requirement). I decided to go with that because I knew the pattern would be stretchy, being made up of garter stitch and ribbing, and because 14" is large for a newborn head and I think the particular baby it's intended for is more likely to be on the small side. :)
(To be sure of the stretchiness, I used the tubular cast on, which is imho the very best cast on for 1X1 ribbing and does ok on this pattern, even for the stretches of garter stitch. I just found Little Turtle Knits's video on a tubular cast on in the round, which I'll have to try!)