A197328 Decimal expansion of least x > 0 having sin(x) = sin(Pi*x/6)^2.

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

Offset

1,1

Comments

The Mathematica program includes a graph. See A197133 for a guide to least x > 0 satisfying sin(b*x) = sin(c*x)^2 for selected b and c.

Links

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

Index entries for transcendental numbers.

Example

2.17316813153036543486342704286010276...

Mathematica

b = 1; c = Pi/6; f[x_] := Sin[x]
t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 2, 2.5}, WorkingPrecision -> 200]
RealDigits[t] (* A197328 *)
Plot[{f[b*x], f[c*x]^2}, {x, 0, 2.5}]

Prog

(PARI) solve(x=2, 3, sin(x)-sin(x*Pi/6)^2) \\ Charles R Greathouse IV, Jul 22 2026

Crossrefs

Cf. A197133.

Sequence in context: A134929 A160413 A295734 * A352247 A136535 A320579

Adjacent sequences: A197325 A197326 A197327 * A197329 A197330 A197331

Keyword

nonn,cons,changed

Author

Clark Kimberling, Oct 13 2011

Status

approved