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Equals Pi!/(e! * (Pi-e)!).
(Sage) numerical_approx( gamma(pi+1)/(gamma(e+1)*gamma(pi -e +1)), digits=120) # G. C. Greubel, Dec 29 2021
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Decimal expansion of binomial( pi, Pi, e).
Harry J. Smith, <a href="/A093961/b093961.txt">Table of n, a(n) for n = 1,...,5000</a>
piPi!/(e! * (piPi-e)!)
1.903568065729906338900833721481793534164058581505805576303447688336684... [From _- _Harry J. Smith_, Jun 17 2009]
(PARI) { allocatemem(932245000); default(realprecision, 5080); e=exp(1); x=gamma(Pi+1)/(gamma(e+1)*gamma(Pi-e+1)); for (n=1, 5000, d=floor(x); x=(x-d)*10; write("b093961.txt", n, " ", d)); } [From _\\ _Harry J. Smith_, Jun 17 2009]
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_Robert G. Wilson v (rgwv(AT)rgwv.com), _, Apr 20 2004
1.903568065729906338900833721481793534164058581505805576303447688336684... [From _Harry J. Smith (hjsmithh(AT)sbcglobal.net), _, Jun 17 2009]
(PARI) { allocatemem(932245000); default(realprecision, 5080); e=exp(1); x=gamma(Pi+1)/(gamma(e+1)*gamma(Pi-e+1)); for (n=1, 5000, d=floor(x); x=(x-d)*10; write("b093961.txt", n, " ", d)); } [From _Harry J. Smith (hjsmithh(AT)sbcglobal.net), _, Jun 17 2009]