A160510 Decimal expansion of exp(Pi/4).

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, 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, 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

Offset: 1

Author

Hagen von Eitzen, May 16 2009

Keywords

• cons
• nonn

Comments

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

Examples

			Exp(Pi/4) = 2.1932800507380154565597696592787382234616+ according to Knuth, appendix B, table 1.
		

References

• D. E. Knuth, The Art Of Computer Programming, Vol 1: Fundamental Algorithms, Addison-Wesley, 1968.

Links

• Greg Egan, Puzzle in which this value arises naturally
• Grant Sanderson and Brady Haran, Darts in Higher Dimensions, Numberphile video (2019)

Crossrefs

Cf. A000796, A320428 (continued fraction), A329912 (Engel expansion).

Programs

Maple

evalf(exp(Pi/4), 125);  # Alois P. Heinz, Nov 17 2019

Mathematica

RealDigits[ E^(Pi/4), 10, 111][[1]] (* Robert G. Wilson v, May 29 2009 *)

PARI

exp(Pi/4) \\ Charles R Greathouse IV, Jan 04 2016

Extensions

More terms from Robert G. Wilson v, May 29 2009