# Tired of Sequences. This one is Nice

Number Theory Level pending

Let $$a_{0},a_{1},a_{2},\ldots$$ be a sequence such that $$a_{0}=1$$ and $$a_{n+1}=(n+1)a_{n}$$, for integer $$n>0$$. Which element of this sequence is equal to $$123!$$ ?

Notation: $$!$$ denotes the factorial notation. For example, $$8! = 1\times2\times3\times\cdots\times8$$.

×