A197591 Decimal expansion of least x>0 satisfying f(x)=m/3, where m is the maximal value of f(x)=cos(x)^2+sin(2x)^2.

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

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..99.

Example

1.2253054542403810364502801560817479178...

Mathematica

(See the program at A197589.)

Prog

(PARI) my(t=solve(x=-0.6875, -0.65625, 2*cos(x)*-sin(x)+2*sin(2*x)*2*cos(2*x))); my(m=cos(t)^2+sin(2*t)^2); solve(x=1.2, 1.3, cos(x)^2+sin(2*x)^2-m/3) \\ Charles R Greathouse IV, May 17 2026

Crossrefs

Cf. A197739, A197589.

Sequence in context: A397072 A392900 A392903 * A097891 A097611 A135376

Adjacent sequences: A197588 A197589 A197590 * A197592 A197593 A197594

Keyword

nonn,cons

Author

Clark Kimberling, Oct 18 2011

Status

approved