The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A198932 Decimal expansion of x>0 satisfying 3*x^2-3*cos(x)=-1. 2

%I #5 Mar 30 2012 18:57:56

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

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

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

%N Decimal expansion of x>0 satisfying 3*x^2-3*cos(x)=-1.

%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.

%e x=0.670809501192074397261156378392474226015...

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

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

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

%t r = x /. FindRoot[f[x] == g[x], {x, .6, .7}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198932 *)

%Y Cf. A198755.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Oct 31 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.

Last modified May 21 19:35 EDT 2024. Contains 372738 sequences. (Running on oeis4.)