Make data more compact (with array?)

Hi,

I have a column of numbers. Let's say column A contains 1;2;3;4;5.
Cell A10 egals A1.
Cell B10 is "=2*A10+3".

The result of B10 is put in B1. Then, Cell A10 egals A2 and the result of B10 is put into B2.

Instead of changing A10 at each time, I would like column B to be fulfill in one single shot.

Contraints:
- I know that I could juste take Column B egals to "2*AX+3" but in my case I can't.
- I can't expand the values below B10. (B11 is took by other things that I can't move)
- I can't do it with macros. (I know how but it is not permit)

I tried to figure how to do this with arrays, bu tit don't seem possible.
(It is possible, but cell B10 can't be directly the formula. I have to retype de formula of the array each time and it is too much difficult because there is a lot of operations and the size can change)

Thank you very much,

Alex