login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A197485 Decimal expansion of least x>0 having cos(4x)=(cos(6x))^2. 2
3, 4, 0, 5, 4, 4, 9, 0, 9, 1, 2, 1, 4, 3, 7, 0, 0, 3, 0, 9, 2, 5, 2, 6, 4, 0, 8, 1, 6, 3, 9, 1, 4, 2, 6, 2, 4, 6, 2, 5, 9, 2, 9, 2, 8, 1, 2, 8, 7, 6, 1, 2, 7, 9, 8, 1, 1, 4, 8, 7, 9, 0, 7, 7, 4, 0, 6, 1, 7, 7, 1, 9, 6, 6, 4, 6, 4, 6, 4, 0, 7, 1, 1, 3, 2, 7, 6, 1, 3, 6, 8, 9, 3, 2, 9, 1, 6, 0, 5 (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

Table of n, a(n) for n=0..98.

EXAMPLE

x=0.34054490912143700309252640816391426246259292812...

MATHEMATICA

b = 4; c = 6; f[x_] := Cos[x]

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .34, .35}, WorkingPrecision -> 100]

RealDigits[t] (* A197485 *)

Plot[{f[b*x], f[c*x]^2}, {x, 0, 1/2}]

RealDigits[ ArcTan[ Sqrt[ Root[7#^4 - 68#^3 + 106#^2 - 68# + 7&, 1] ] ], 10, 99] // First (* Jean-Fran├žois Alcover, Feb 27 2013 *)

CROSSREFS

Cf. A197476.

Sequence in context: A246770 A197809 A086230 * A158677 A337164 A105576

Adjacent sequences:  A197482 A197483 A197484 * A197486 A197487 A197488

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 15 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 April 18 09:06 EDT 2021. Contains 343087 sequences. (Running on oeis4.)