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

1,1

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

References

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

Links

Table of n, a(n) for n=1..105.

Greg Egan, Puzzle in which this value arises naturally

Grant Sanderson and Brady Haran, Darts in Higher Dimensions, Numberphile video (2019)

Example

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

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 *)

Prog

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

Crossrefs

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

Sequence in context: A369919 A355881 A095888 * A298738 A124776 A099285

Adjacent sequences: A160507 A160508 A160509 * A160511 A160512 A160513

Keyword

cons,nonn

Author

Hagen von Eitzen, May 16 2009

Extensions

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

Status

approved