A197590 Decimal expansion of least x>0 satisfying f(x)=m/2, where m is the maximal value of f(x)=(cos(x))^2+(sin(3x))^2.

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

Offset

0,1

Comments

For a discussion and guide to related sequences, see A197739.

Links

Table of n, a(n) for n=0..98.

Example

0.81428544842054341525317686676548785153377347...

Mathematica

(See the program at A197739.)

Prog

(PARI) my(t=solve(x=-0.5, -0.46875, 2*cos(x)*-sin(x)+2*sin(3*x)*3*cos(3*x))); my(m=cos(t)^2+sin(3*t)^2); solve(x=.8, .9, cos(x)^2+sin(3*x)^2-m/2) \\ Charles R Greathouse IV, May 17 2026

Crossrefs

Cf. A197739.

Sequence in context: A395721 A079359 A010156 * A370067 A154190 A019981

Adjacent sequences: A197587 A197588 A197589 * A197591 A197592 A197593

Keyword

nonn,cons

Author

Clark Kimberling, Oct 18 2011

Status

approved