login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A197291 Decimal expansion of least x>0 having sin(6x)=(sin(2x))^2. 1
4, 2, 4, 0, 3, 1, 0, 3, 9, 4, 9, 0, 7, 4, 0, 5, 0, 4, 0, 2, 6, 4, 7, 2, 1, 6, 9, 4, 9, 9, 2, 0, 9, 0, 4, 0, 0, 3, 6, 6, 8, 3, 1, 0, 6, 6, 3, 1, 5, 5, 6, 3, 2, 1, 4, 3, 0, 3, 5, 9, 0, 8, 1, 7, 8, 5, 1, 0, 0, 4, 1, 0, 6, 1, 4, 2, 3, 7, 1, 1, 7, 1, 7, 4, 5, 9, 4, 9, 0, 0, 8, 6, 5, 9, 7, 8, 6, 1, 5, 1 (list; constant; graph; refs; listen; history; text; internal format)
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..99.

EXAMPLE

x=0.4240310394907405040264721694992090400...

MATHEMATICA

b = 6; c = 2; f[x_] := Sin[x]

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .4, .6}, WorkingPrecision -> 100]

RealDigits[t] (* A197291 *)

Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi/2}]

RealDigits[ ArcTan[ (4-Sqrt[7])/3 ], 10, 100] // First (* Jean-Fran├žois Alcover, Feb 27 2013 *)

CROSSREFS

Cf. A197133.

Sequence in context: A166198 A248252 A117238 * A112983 A068454 A090976

Adjacent sequences:  A197288 A197289 A197290 * A197292 A197293 A197294

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 13 2011

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 21 05:32 EDT 2019. Contains 326162 sequences. (Running on oeis4.)