[seqfan] Re: GF for A083710 Number of partitions [...

Joerg Arndt arndt at jjj.de
Wed Jun 10 04:59:07 CEST 2009


About to submit corrections:
Replaced "summands" by the more common "parts" in alternative definition.
Gave argument for the g.f.

Now:

%C A083710 Comment from Joerg Arndt, Jun 08 2009: Since the summand (part) which divides 
               all the other summands is necessarily the smallest, an equivalent 
               definition is: "Number of partitions of n such that smallest part
               divides every part."

and:

%F A083710 Comment from Joerg Arndt, Jun 08 2009: Sequence has g.f. 1 + Sum_{n>=1} 
               x^n/eta(x^n).  The g.f. for partitions into parts that are a multiple
               of n is x^n/eta(x^n), now sum over n. 







More information about the SeqFan mailing list