are partitions of n into perfect powers the same as Molien series?

[N. J. A. Sloane]

There is a straightforward relationship between partitions and invariants
for groups of that type - see Chap 19 of my book on coding theory with
J. MacWilliams.

For a discussion that is available for library-deprived people,
see item 229 on my publication list:


%title Self-Dual Codes
%author E. M. Rains
%author N. J. A. Sloane
%booktitle Handbook of Coding Theory
%publisher Elsevier
%address Amsterdam
%date 1998
%pages 177-294
%editor V. S. Pless
%editor W. C. Huffman
%Z Item 229
%Z LANL math.CO/0208001

NJAS