A019318 ? (Sorry - figured it out.)

[Jim Nastos]

On Tue, 27 May 2003, Brendan McKay wrote:

> It should be a piece of cake to find an exact formula using
> Burnside's Lemma, but I'll give someone else the pleasure.

  The encyclopedia entry for this sequence includes a link in
which the author does exactly this. In fact, he states Burnside's
gives the number of (inequivalent) ways of picking K items from an\
N by N box, which I think should produce other worthy sequences for 
various values of K besides K=N.

Jim