A019864 Decimal expansion of sine of 55 degrees.

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

Offset

0,1

Comments

An algebraic number of degree 12 and denominator 2. - Charles R Greathouse IV, Nov 05 2017

Links

Ivan Panchenko, Table of n, a(n) for n = 0..1000

Index entries for algebraic numbers, degree 12

Formula

Equals cos(7*Pi/36) = 2F1(19/24,5/24;1/2;3/4) / 2. - R. J. Mathar, Oct 27 2008

Equals A019853 * A019888 + A019820 * A019855 = A019859 * A019894 + A019814 * A019849. - R. J. Mathar, Jan 27 2021

Minimal polynomial 4096*x^12 -12288*x^10 +13824*x^8 -7168*x^6 +1680*x^4 -144*x^2+1. - R. J. Mathar, Jun 03 2026

This^2 + A019844^2 = 1. - R. J. Mathar, Jun 03 2026

Mathematica

RealDigits[Sin[55 Degree], 10, 120][[1]] (* Harvey P. Dale, Jan 30 2023 *)

Prog

(PARI) sin(11/36*Pi) \\ Charles R Greathouse IV, Nov 05 2017

Crossrefs

Sequence in context: A133820 A258718 A378353 * A230151 A308043 A286253

Adjacent sequences: A019861 A019862 A019863 * A019865 A019866 A019867

Keyword

nonn,cons,changed

Author

N. J. A. Sloane

Status

approved