login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A197520 Decimal expansion of least x>0 having cos(2*Pi*x)=(cos 3x)^2. 2
9, 0, 6, 3, 6, 2, 2, 3, 6, 5, 3, 8, 7, 2, 1, 4, 1, 7, 5, 1, 9, 6, 9, 1, 9, 2, 2, 7, 5, 8, 8, 4, 6, 9, 1, 0, 3, 1, 2, 0, 8, 8, 7, 1, 0, 3, 0, 1, 9, 2, 0, 1, 8, 0, 4, 1, 4, 4, 0, 8, 9, 3, 8, 8, 7, 3, 7, 2, 3, 9, 2, 8, 6, 2, 0, 8, 5, 9, 6, 8, 1, 5, 6, 0, 8, 2, 0, 2, 8, 8, 5, 2, 4, 6, 7, 6, 1, 3, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
The Mathematica program includes a graph. See A197476 for a guide for the least x>0 satisfying cos(b*x)=(cos(c*x))^2 for selected b and c.
LINKS
EXAMPLE
x=0.9063622365387214175196919227588469103120887...
MATHEMATICA
b = 2 Pi; c = 3; f[x_] := Cos[x]
t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .9, .91}, WorkingPrecision -> 200]
RealDigits[t] (* A197520 *)
Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi/2}]
CROSSREFS
Cf. A197476.
Sequence in context: A188738 A199789 A019874 * A068467 A131223 A225464
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 16 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 22 02:54 EDT 2024. Contains 371887 sequences. (Running on oeis4.)