I have some "insects" (really, really abstract insects) which reproduce asexually (all female, all lay eggs, no males).

Every 7 days, an insect lays 1 egg.

After 15 days, that egg becomes an adult and lays its first egg (on the same day it becomes an adult).

Insects lay 7 eggs before dieing (so the first insect lays on Day 0, Day 7, Day 14, Day 21, Day 28, Day 35 and Day 42 before dieing immediately).

I need to figure out how many insects there would be after 44 days, assuming we start with 1 insect which lays its first egg on Day 0. It's for a personal project.