I'd say that the first year of a child's life it's hard to get anything done at all. That's not specific to programming, it's just when you get no sleep it's hard to be productive on anything from work to keeping the kitchen clean.

So if you are now in the first year then I'd say don't let extreme sleep deprivation be the final word on how your life is going to be later.

I think the first year can be an extreme experience right up there with mountain climbing or other things I've done that have been intense, except there's no let-up and you can't take breaks when you want. The first year shows you who you are. Sometimes you have to keep going with no sleep and the stomach flu. Period.