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!)
A199796 Decimal expansion of x>0 satisfying 3*x^2-x*cos(x)=2*sin(x). 2

%I #5 Mar 30 2012 18:57:58

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

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

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

%N Decimal expansion of x>0 satisfying 3*x^2-x*cos(x)=2*sin(x).

%C See A199597 for a guide to related sequences. The Mathematica program includes a graph.

%e x=0.8212972155557462493232712765329159218079155...

%t a = 3; b = -1; c = 2;

%t f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]

%t Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, .82, .83}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199796 *)

%Y Cf. A199597.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 10 2011

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 July 25 03:25 EDT 2024. Contains 374586 sequences. (Running on oeis4.)