New Sequence from wrong Comment in A083088

[pauldhanna at juno.com]

Dear Rainer (and Seqfans), 
      
> One last point: A097682 uses sqrt(2) in the Digamma-context
> and I am a bit uneasy about this after the "near miss" in
> A083088. Is A097682 waterproof?
 
You can be sure that A097682 is air-tight.  It is a proven result 
of Benoit Cloitre's beautiful generalized Euler-Gauss formula 
for the Gamma function, which uses Gauss's Digamma Theorem 
(described at: http://mathworld.wolfram.com/GausssDigammaTheorem.html) 
to complete an infinite array of constants involving Pi, e, Euler gamma, 
 
as well as square-roots of integers including the golden ratio. 
A097682 involves row 8 of this array. 
 
The link given in A097682 is broken, but I can email the paper 
off-list for anyone interested.  It is a truly beautiful result. 
Working with Benoit on that project was one of my most exciting 
works of collaboration made possible thru the OEIS. 
 
> As soon as my new sequence will show up in the OEIS
> it would be nice to cancel the wrong comment in A083088.
> This would be best done by Paul himself, I think.
 
Should the comment be moved to your new sequence? 
 
Regards, 
     Paul 
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