A018938 Decimal expansion of e^Pi - Pi.

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

Offset

2,2

Comments

Sum_{k>=0} A176696(k)/(2^k*k!)= e^Pi - Pi. - Jaume Oliver Lafont, Apr 24 2010

References

J. H. Conway, personal communication.

Links

Harry J. Smith, Table of n, a(n) for n = 2..20000

Robert Munafo, Pi Day: the Second Approximation, RIES - Find Algebraic Equations, Given Their Solution.

Randall Munroe, e to the pi Minus pi, xkcd Web Comic #217, Jan 31 2007.

Simon Plouffe, exp(Pi)-Pi to 10000 digits

Simon Plouffe, exp(Pi)-Pi to 2000 digits

Wikipedia, Gelfond's constant.

Example

19.99909997918947576726644298466904449606893684322510617247010181721652...

Maple

evalf(exp(Pi)-Pi, 140);  # Alois P. Heinz, Sep 26 2023

Mathematica

RealDigits[E^Pi-Pi, 10, 120][[1]] (* Harvey P. Dale, Mar 09 2014 *)

Prog

(PARI) { default(realprecision, 20080); x=(exp(1)^Pi-Pi)/10; for (n=2, 20000, d=floor(x); x=(x-d)*10; write("b018938.txt", n, " ", d)); } \\ Harry J. Smith, May 14 2009

Crossrefs

Cf. A018939 (continued fraction), A176696.

Sequence in context: A114054 A347220 A348294 * A292888 A111659 A346450

Adjacent sequences: A018935 A018936 A018937 * A018939 A018940 A018941

Keyword

nonn,cons

Author

N. J. A. Sloane

Status

approved