[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.
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