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%I #17 Aug 27 2015 05:02:27
%S 6,8,1,5,3,4,9,1,4,4,1,8,2,2,3,5,3,2,3,0,1,9,3,4,1,6,3,4,0,4,8,1,2,3,
%T 5,2,6,7,6,7,9,1,1,0,8,6,0,3,5,1,9,7,4,4,2,4,2,0,4,3,8,5,5,4,5,7,4,1,
%U 6,3,1,0,2,9,1,3,3,4,8,7,1,1,9,8,4,5,2,2,4,4,3,4,0,4,0,6,1,8,8,1,4,4,5,0,2
%N Decimal expansion of e^Pi - Pi^e.
%C A classic calculus analysis problem is to discover whether e^Pi or Pi^e is the greater without the use of a calculator.
%D Paul J. Nahin, When Least Is Best, How Mathematicians Discovered Many Clever Ways to Make Things as Small (or as Large) as Possible, Princeton University Press, Princeton NJ, 2004, Page 144.
%D Alfred S. Posamentier & Ingmar Hehmann, Pi: A Biography of the World's Most Mysterious Number, Prometheus Books, NY 2002, pages 146, 301-304.
%H Harry J. Smith, <a href="/A063504/b063504.txt">Table of n, a(n) for n = 0..20000</a>
%e 0.681534914418223532301934163404812352676791108603519744242043855457416... - _Harry J. Smith_, Aug 24 2009
%t RealDigits[N[E^Pi - Pi^E, 100]][[1]]
%o (PARI) { default(realprecision, 20080); e=exp(1); x=10*(e^Pi - Pi^e); for (n=0, 20000, d=floor(x); x=(x-d)*10; write("b063504.txt", n, " ", d)) } \\ _Harry J. Smith_, Aug 24 2009
%Y Equals A039661 - A059850.
%Y Cf. A063503.
%K easy,nonn,cons
%O 0,1
%A _Robert G. Wilson v_, Jul 30 2001
%E Offset corrected by _R. J. Mathar_, Feb 05 2009