If you look at this webpage, you will see how deep.
The function you want is . But there is no easy way to define that function.
I have problems solving this problem:
How many partitions of a number n are there, if none of the components of the partition equals 1?
What I've got so far is that for
n=1 we have 0,
n=2 and n=3 we have 1
n=4 and n=5 we have 2
n=6 and n=7 we have 3
but then for n=8 we get 7 and for n=9 we get 8.
Unless I'm making mistakes while counting. Anyway, I do not see any relations here.
Could someone help me?