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!)
A197514 Decimal expansion of least x > 0 having cos(2*x) = cos(Pi*x/6)^2. 2

%I

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

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

%U 5,7,9,3,2,2,9,5,8,4,4,3,5,5,2,3,2,9,9,5,9,4,6,7,9,3,2,7,9,3,5

%N Decimal expansion of least x > 0 having cos(2*x) = cos(Pi*x/6)^2.

%C 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.

%e x=2.40347697899992522545129646324811831083...

%t b = 2; c = Pi/6; f[x_] := Cos[x]

%t t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 2.4, 2.41}, WorkingPrecision -> 110]

%t RealDigits[t] (* A197514 *)

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

%Y Cf. A197476.

%K nonn,cons

%O 1,1

%A _Clark Kimberling_, Oct 16 2011

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 October 22 15:55 EDT 2021. Contains 348172 sequences. (Running on oeis4.)