I'm having trouble figuring out how to evaluate:
$$\sum _{j = 1}^{n} j!j$$
I've tried plugging in numbers and looking for a pattern and I've also tried to find a general form like:
$$n=1:$$ $$ 1*1 = 1 = n^2$$ $$n =2:$$ $$ 1*1 + 1*2*2 = 5 = (n-1)^2 + (n-1)(n)^2$$
Could anyone point me in the right direction?
