A197251 Decimal expansion of least x>0 having sin(x)=(sin 5x)^2.

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

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.

Example

0.04054128955400091796960821715312481722...

Mathematica

b = 1; c = 5; f[x_] := Sin[x]
t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .03, .1}, WorkingPrecision -> 100]
RealDigits[t] (* A197251 *)
Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi}]

Crossrefs

Cf. A197133.

Sequence in context: A185199 A201196 A019906 * A049247 A175621 A016578

Adjacent sequences: A197248 A197249 A197250 * A197252 A197253 A197254

Keyword

nonn,cons

Author

Clark Kimberling, Oct 12 2011

Extensions

Offset and a(99) corrected by Georg Fischer, Jul 28 2021

Status

approved