Although that is a logical interpretation, it is common on here (where summation notation is too awkward) to simply spell out the relationship, thus adding up each term. If n=1, we would simply see 1!
If K had simply wrote 1!+...+n!, it would be unclear what terms she wanted added, and if she wanted to include 1!, she would have had to write just 1!... or ...+n!
re(2): some thoughts -- n from 1 to n
