OK, no press release or private/public breakdown yet, but the home page of New York's health exchange website is displaying a total of 351,605, up from 328,796 as of January 20.
Assuming the same 67/33 split that their previous exchange enrollments have followed, that means roughly 15,400 private enrollments and another 7,409 added to Medicaid/CHIP. I'll adjust these numbers as appropriate once a formal press release comes out.
In addition, this is the first update that takes us beyond January 23 (the date of the "3 Million" announcement), so only about half of that 15,400 will be subtracted from the "Not Broken Out Yet" amount. And with that, we've moved onto Week 17.