[seqfan] Inversion Formula for Peculiar G.F. - Help

[Paul D. Hanna]

Dear seqfans,
        I realize what is wrong with the approach in my prior e-mail. 
Not only were the matrices involved infinite, but they were 
derived from infinite series in x that are divergent everywhere!  
Also, the result of the product of the matrices 
   [C(x)] * T = D 
did not produce a diagonal matrix (such as D) 
for finite sizes of the matrices; 
there are remainder terms in x not yet cancelled out, 
both on and off the diagonal. 
Thus it was erroneous to try to conclude anything like: 
   T = [C(x)]^(-1) * D.
 
But what I had hoped in sharing the recursive generating functions 
of the columns of A102086 was that someone may see something 
that I overlooked and find a way of obtaining a nice g.f. (or e.g.f.) 
that is not recursive. 
 
Thanks! 
      Paul