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A201505 Decimal expansion of cos(1/2). 0
8, 7, 7, 5, 8, 2, 5, 6, 1, 8, 9, 0, 3, 7, 2, 7, 1, 6, 1, 1, 6, 2, 8, 1, 5, 8, 2, 6, 0, 3, 8, 2, 9, 6, 5, 1, 9, 9, 1, 6, 4, 5, 1, 9, 7, 1, 0, 9, 7, 4, 4, 0, 5, 2, 9, 9, 7, 6, 1, 0, 8, 6, 8, 3, 1, 5, 9, 5, 0, 7, 6, 3, 2, 7, 4, 2, 1, 3, 9, 4, 7, 4, 0, 5 (list; constant; graph; refs; listen; history; text; internal format)
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..83.

Index entries for transcendental numbers

FORMULA

Taylor series representation: 1 -1/(2^2*2!) +1/(2^4*4!) -1/(2^6*6!) -...

EXAMPLE

0.877582561890372716... = sqrt((1+A049470)/2) = sqrt(1-A201504^2).

MAPLE

evalf(cos(1/2)) ;

MATHEMATICA

RealDigits[Cos[1/2], 10, 120][[1]] (* Harvey P. Dale, Sep 22 2016 *)

PROG

(PARI) cos(1/2) \\ Charles R Greathouse IV, May 13 2019

CROSSREFS

Sequence in context: A021118 A210462 A010529 * A219388 A177218 A319462

Adjacent sequences:  A201502 A201503 A201504 * A201506 A201507 A201508

KEYWORD

cons,nonn,easy,changed

AUTHOR

R. J. Mathar, Dec 02 2011

STATUS

approved

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Last modified May 25 02:47 EDT 2019. Contains 323539 sequences. (Running on oeis4.)