FWIW, I'd have killfiled you long before you reached that one month mark if you were sending that many e-mails just because I signed up for something (other than intentionally joining a high traffic mailing list, obviously).
Given that basically everyone is going to send mail when someone first signs up and for subsequent events like charging a renewal, I think you have to be careful how many more things you send out unsolicited. Some use of lifecycle e-mails is reasonable, for example if you're offering a free trial and want to remind someone after a few days. Depending on what you're offering and who your market are, maybe the acceptable limit goes up or down quite a bit. But some of the things I've seen advocated on HN, even by otherwise reputable people, are way over the line into spamming IMHO.
I use a simple benchmark: if someone in my family signed up and got whatever mails I was thinking of sending out, would they mind? If so, I probably don't want to send it.