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!)
A197516 Decimal expansion of least x>0 having cos(Pi*x)=(cos 2x)^2. 2
1, 7, 9, 8, 5, 9, 1, 0, 3, 7, 0, 2, 8, 6, 9, 8, 4, 4, 2, 7, 7, 5, 5, 7, 2, 9, 2, 8, 4, 5, 2, 1, 6, 1, 3, 1, 1, 7, 0, 8, 8, 7, 0, 5, 1, 1, 1, 7, 5, 7, 5, 5, 6, 1, 5, 0, 4, 0, 8, 7, 1, 5, 6, 4, 2, 6, 4, 7, 6, 4, 6, 4, 9, 7, 8, 2, 0, 0, 6, 9, 9, 0, 1, 9, 0, 4, 3, 4, 6, 4, 0, 4, 9, 1, 3, 8, 5, 3, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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=1..99.

EXAMPLE

x=1.79859103702869844277557292845216131170...

MATHEMATICA

b = Pi; c = 2; f[x_] := Cos[x]

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 1.7, 1.8}, WorkingPrecision -> 200]

RealDigits[t]  (* A197516 *)

Plot[{f[b*x], f[c*x]^2}, {x, 0, 3}]

CROSSREFS

Cf. A197476.

Sequence in context: A126041 A319881 A021560 * A019862 A330865 A300444

Adjacent sequences:  A197513 A197514 A197515 * A197517 A197518 A197519

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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 10 15:45 EDT 2020. Contains 335577 sequences. (Running on oeis4.)