Form a database

Offering remote work. You need to create, automatically, a database using a script. Because the base can be infinite,
It can be limited by the formula by which lines are filled or by a number.
The base may and may not be endless. You can start with a billion lines.
Then it should be possible to continue the base according to the formula, the range, from this place.
And there's also a free space for her. The ability to continue the base from a certain row number or column in another place.
The base can be set by a range including the number of letters (large and small letters and numbers).
Or exclude certain letters or numbers from the count.
The ability to change the data of the first column (perform an arithmetic operation) and get the second column of all data automatically.
Columns 4 (for debugging literally two lines with number 5). The base must be deployed on the computer.
Preliminary demanding the necessary place, calculating the required, according to the formula.
Strict compliance with the first column of row numbering with other columns (through numbering).
Line numbering automatically increasing