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Decimal expansion of Pi^e.
16

%I #31 Sep 04 2024 10:56:41

%S 2,2,4,5,9,1,5,7,7,1,8,3,6,1,0,4,5,4,7,3,4,2,7,1,5,2,2,0,4,5,4,3,7,3,

%T 5,0,2,7,5,8,9,3,1,5,1,3,3,9,9,6,6,9,2,2,4,9,2,0,3,0,0,2,5,5,4,0,6,6,

%U 9,2,6,0,4,0,3,9,9,1,1,7,9,1,2,3,1,8,5,1,9,7,5,2,7,2,7,1,4,3,0,3,1,5,3,1,4,5,0

%N Decimal expansion of Pi^e.

%C Pi^e is conjectured to be transcendental.

%D C. Pickover, Wonders of Numbers, Chap. 44, "The 15 Most Famous Transcendental Numbers", Oxford University Press, NY, 2001, p. 103.

%D David Wells, The Penguin Dictionary of Curious and Interesting Numbers. Penguin Books, NY, 1986, Revised edition 1987. See p. 100.

%H Harry J. Smith, <a href="/A059850/b059850.txt">Table of n, a(n) for n = 2..20000</a>

%H C. A. Pickover, "Wonders of Numbers, Adventures in Mathematics, Mind and Meaning," <a href="http://www.zentralblatt-math.org/zmath/en/search/?q=an:0983.00008&amp;format=complete">Zentralblatt review</a>.

%H Simon Plouffe, <a href="https://web.archive.org/web/20080205212834/http://www.worldwideschool.org/library/books/sci/math/MiscellaneousMathematicalConstants/chap74.html">Pi**exp(1) to 2000 digits</a>.

%H Simon Plouffe, <a href="http://www.plouffe.fr/simon/constants/piexp1.txt">Pi**exp(1) to 2000 digits</a>.

%e 22.459157718361045473427152204543735027589315133996692...

%t RealDigits[N[Pi^E,200]] (* _Vladimir Joseph Stephan Orlovsky_, May 27 2010 *)

%o (PARI) { default(realprecision, 20080); x=Pi^exp(1)/10; for (n=2, 20000, d=floor(x); x=(x-d)*10; write("b059850.txt", n, " ", d)); } \\ _Harry J. Smith_, Apr 18 2009

%Y Cf. A058288.

%K cons,easy,nonn

%O 2,1

%A Hsu, Po-Wei (Benny) (arsene_lupin(AT)intekom.co.za), Jan 13 2000

%E More terms from _James A. Sellers_, Jan 19 2000