Please help me solve these two problems. To be honest, I would really appreciate something more than just a small hint, because I have really no idea how to go about solving it ;(

1. Consider all possible sequences of natural numbers whose sum is n . Each sequence has a certain number of terms. How many terms appear in all those sequences.?

2. Consider all possible sequences of natural numbers whose sum is n . Find the number t(n,k) , which represents the number of times a certain natural number k appears in such sequences.