Conjugate m-dimensional partitions

[franktaw at netscape.net]

It does seem unlikely.
 
Is there a unique sequence that satisfies these two conditions?  If so, I would think it a worthwhile thing to add to the OEIS.  (If it's not there already - it might be A002547.)
 
Franklin T. Adams-Watters

-----Original Message-----
From: Paul D Hanna pauldhanna at juno.com


Franklin, 
     BTW, should *both* of those conditions continue to hold 
(I would be surprised),  the next term is required to be:  42.
 
Paul
 
-- "Paul D Hanna" <pauldhanna at juno.com> wrote:
Franklin (and seqfans),
    Perhaps this is just coincidence, 
but so far the g.f. A(x) of the terms
> 1,1,1,2,4,7,13,24 
 
satisfies these 2 relations: 
 
(1) A(x) = 1/A(-x*A(x))
  
(2) x*A(x) = series_reversion(x*A(-x))
 
It would be curious (since unlikely) if these trends continue.

Paul
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