A197755 Decimal expansion of least x>0 satisfying f(x)=m/3, where m is the maximal value of f(x)=(cos(x))^2+(sin(3x))^2.

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

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

0.89372722662672136917374641547499380829422...

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/3) \\ Charles R Greathouse IV, May 17 2026

Crossrefs

Cf. A197739.

Sequence in context: A380896 A257438 A197826 * A360148 A021532 A188638

Adjacent sequences: A197752 A197753 A197754 * A197756 A197757 A197758

Keyword

nonn,cons

Author

Clark Kimberling, Oct 18 2011

Status

approved