Conjugate m-dimensional partitions

[A.N.W.Hone at kent.ac.uk]

Another remark: 

A(x)=1/(1+x) is a particular solution of the functional equation.

Andy

----- Original Message -----
From: Paul D Hanna 
Date: Monday, May 8, 2006 9:44 pm
Subject: Re: Conjugate m-dimensional partitions
To: seqfan at ext.jussieu.fr

> 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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