A197283 Decimal expansion of least x>0 having sin(5*x) = (sin(x))^2.

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

Offset

0,1

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=0..100.

Example

0.56934595670405449122547400...

Mathematica

b = 5; c = 1; f[x_] := Sin[x]
t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .5, .7}, WorkingPrecision -> 100]
RealDigits[t] (* A197283 *)
Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi}]

Crossrefs

Cf. A197133.

Sequence in context: A277522 A019598 A340565 * A244843 A118261 A246749

Adjacent sequences: A197280 A197281 A197282 * A197284 A197285 A197286

Keyword

nonn,cons

Author

Clark Kimberling, Oct 13 2011

Extensions

Offset corrected by Georg Fischer, Aug 10 2021

Status

approved