What is the relationship between partitions and number series

A sum of positive natural numbers adding up to n is called a partition of n. For instance, 1+2+4 is a partition of 7. As none of the summands 1, 2, 4 are equal, this is called a partition into unequal parts. Does this help? Because this is all I know :( 

Yes, his estimate is reasonable. but only if michael is less than 2 years old.