A197582 Decimal expansion of least x>0 having cos(Pi*x/3)=(cos(x))^2.

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

Offset: 1

Author

Clark Kimberling, Oct 16 2011

Keywords

• nonn
• cons

Comments

This number is irrational. I cannot prove it to be algebraic or transcendental. - Charles R Greathouse IV, Feb 16 2025

Examples

			1.4944438196120873896740822781755300606762984342700620727748777923069479...
		

Crossrefs

Cf. A197133.

Programs

PARI

solve(x=1,2,cos(Pi/3*x)-cos(x)^2) \\ Charles R Greathouse IV, Oct 18 2011

Extensions

Corrected by Charles R Greathouse IV, Oct 18 2011