Sum running total excluding filtered data

I'd like to have a running total in column B based on previous row in B and adjustment amount in A. This simple application can run just on =SUM(B1,A2) and would be copied down the range to evaluate appropriate reference cells.

A	B
	0
1	1
2	3
3	6

If my filter result hides row 3 for instance (with data A:2, B:3), I need the row 4 in column B to read 4 instead of 6. I'd like the data in row 3 to be disregarded but rest of the running total to continue. I've looked into SUBTOTAL function but it seems that would not be applicable here?

Any suggestions appreciated. Thanks

Thanks for the tip.
I ended up using =SUBTOTAL(109,$a$1:$A2) placed in B2 and copied down. A1 needed a starting value manually inserted (0 from B1).