A201504 Decimal expansion of sin(1/2).

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

Offset

0,1

Comments

By the Lindemann-Weierstrass theorem, this constant is transcendental. - Charles R Greathouse IV, May 13 2019

Links

Table of n, a(n) for n=0..82.

Index entries for transcendental numbers.

Formula

Equals 1/2 - 1/(2^3*3!) + 1/(2^5/5!) - 1/(2^7*7!) + ..., Taylor series of sin(x).

Equals sqrt((1-A049470)/2).

Example

0.47942553860420300027...

Maple

evalf(sin(1/2)) ;

Mathematica

RealDigits[Sin[1/2], 10, 120][[1]] (* Amiram Eldar, Jun 27 2023 *)

Prog

(PARI) sin(.5) \\ Charles R Greathouse IV, May 13 2019

Crossrefs

Cf. A049470.

Sequence in context: A021680 A299617 A201931 * A159898 A154160 A155065

Adjacent sequences: A201501 A201502 A201503 * A201505 A201506 A201507

Keyword

cons,easy,nonn

Author

R. J. Mathar, Dec 02 2011

Status

approved