New Sequence from wrong Comment in A083088

[pauldhanna at juno.com]

Dear Rainer (and SeqFans),
 
> comment in A083088. This comment suggests a *simple* relationship
> between the Digamma function and sqrt(2). And this is wrong.
 
Yes, glad that you found the erroneous comment. 
 
> I already proposed a comment, mentioning A083088 and the
> "near miss". It would be nice to know if this isn't 
> just coincidence but has some asymptotic basis, given by
> e.g. your other sequence A097682. Please forgive me that I became
> suspicious after the blunder in A083088 (which is not your fault!).
 
Truth welcomes "suspicion" - if the entry is in error, I want to know. 
I did not mean to sound defensive, only that I had verified all the 
formulas and that the formulas were based on a proven result. 
 
The e.g.f. of A097682 is the generating function of a special case 
of Benoit Cloitre's generalization of the Euler-Gauss formula for the 
gamma function. 
 
Thanks, 
      Paul