Partitions into divisors... A018818

[Gordon Royle]

I am interested in alternative formulations for the number of 
partitions of an integer n into divisors of n...

The sequence is in OEIS as A018818,

http://www.research.att.com/projects/OEIS?Anum=A018818

and the comments observe that the value a(n) is the coefficient of x^n 
in 1/(Product(1-x^d)) where d ranges over all divisors of n.

The problem with this expression is that the "generating function" is 
different for each value of n and we only pull one coefficient out of 
it..

Does anyone know if this sequence has been studied - I would be 
grateful for references.

Cheers

Gordon