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%I #24 Nov 24 2019 16:13:39
%S 2,1,9,3,2,8,0,0,5,0,7,3,8,0,1,5,4,5,6,5,5,9,7,6,9,6,5,9,2,7,8,7,3,8,
%T 2,2,3,4,6,1,6,3,7,6,4,1,9,9,4,2,7,2,3,3,4,8,5,8,0,1,5,9,1,8,6,5,7,0,
%U 2,6,8,6,4,1,8,9,2,3,6,9,3,4,1,2,6,5,2,2,8,1,2,5,7,8,1,6,9,4,0,4,7,1,1,6,7
%N Decimal expansion of exp(Pi/4).
%C Identified by Knuth as one of those "quantities that are frequently used in standard subroutines and in analysis of computer programs." - _Alonso del Arte_, Feb 03 2012
%D D. E. Knuth, The Art Of Computer Programming, Vol 1: Fundamental Algorithms, Addison-Wesley, 1968.
%H Greg Egan, <a href="https://twitter.com/gregeganSF/status/1160461092973211648">Puzzle in which this value arises naturally</a>
%H Grant Sanderson and Brady Haran, <a href="https://www.youtube.com/watch?v=6_yU9eJ0NxA">Darts in Higher Dimensions</a>, Numberphile video (2019)
%e Exp(Pi/4) = 2.1932800507380154565597696592787382234616+ according to Knuth, appendix B, table 1.
%p evalf(exp(Pi/4), 125); # _Alois P. Heinz_, Nov 17 2019
%t RealDigits[ E^(Pi/4), 10, 111][[1]] (* _Robert G. Wilson v_, May 29 2009 *)
%o (PARI) exp(Pi/4) \\ _Charles R Greathouse IV_, Jan 04 2016
%Y Cf. A000796, A320428 (continued fraction), A329912 (Engel expansion).
%K cons,nonn
%O 1,1
%A _Hagen von Eitzen_, May 16 2009
%E More terms from _Robert G. Wilson v_, May 29 2009
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