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A019824 Decimal expansion of sine of 15 degrees. 5
2, 5, 8, 8, 1, 9, 0, 4, 5, 1, 0, 2, 5, 2, 0, 7, 6, 2, 3, 4, 8, 8, 9, 8, 8, 3, 7, 6, 2, 4, 0, 4, 8, 3, 2, 8, 3, 4, 9, 0, 6, 8, 9, 0, 1, 3, 1, 9, 9, 3, 0, 5, 1, 3, 8, 1, 4, 0, 0, 3, 2, 0, 7, 3, 1, 5, 0, 5, 6, 9, 7, 4, 7, 4, 8, 8, 0, 1, 9, 9, 6, 9, 2, 2, 3, 6, 7, 9, 7, 4, 6, 9, 4, 2, 4, 9, 6, 6, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Also the imaginary part of i^(1/6). - Stanislav Sykora, Apr 25 2012

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Wikipedia, Exact trigonometric constants

FORMULA

Equals [sqrt(3)-1]/[2*sqrt(2)] = [A002194 -1 ] * A020765 = sin(Pi/12). - R. J. Mathar, Jun 18 2006

Equals 2F1(9/8,-1/8;1/2;3/4) / 2 = - 2F1(11/8,-3/8;1/2;3/4) / 2 = cos(5*Pi/12). - R. J. Mathar, Oct 27 2008

EXAMPLE

0.258819045102520762348898837624048328349068901319930513814003207315...

MATHEMATICA

RealDigits[ Sin[ Pi/12], 10, 111][[1]] (* Or *) RealDigits[(Sqrt[3] - 1)/(2 Sqrt[2]), 10, 111][[1]] (* Robert G. Wilson v *)

RealDigits[Sin[15 Degree], 10, 120][[1]] (* Harvey P. Dale, Jul 16 2016 *)

PROG

(PARI) sin(Pi/12) \\ Charles R Greathouse IV, Apr 25 2012

CROSSREFS

Sequence in context: A138371 A140053 A103311 * A284868 A019772 A046825

Adjacent sequences:  A019821 A019822 A019823 * A019825 A019826 A019827

KEYWORD

nonn,cons

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified August 21 00:45 EDT 2017. Contains 290855 sequences.