Birth till retirement

I was thinking of something.
One. If start with $1 per week, which increased on itself, $2 in week two, $3 in week three, untill:
A. First birthday
B. Fifth birthday
C. 10th birthday
D. 16th birthday?
E. 21st birthday.
And so on to 65.
how much would I have?

It would be cool if there was a calculator that you can do this in the app, or put in specific dates, for example, from first birthday to 50 years, 21st birthday to 65.