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!)
A199285 Decimal expansion of x<0 satisfying 3*x^2+2*x*cos(x)=1. 3

%I

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

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

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

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

%C See A199170 for a guide to related sequences. The Mathematica program includes a graph.

%e negative: -0.840914700055474492704399020053615852...

%e positive: 0.3432728196270004264786970275097026953...

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

%t f[x_] := a*x^2 + b*x*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, -.85, -.84}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199285 *)

%t r = x /. FindRoot[f[x] == g[x], {x, .34, .35}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199286 *)

%Y Cf. A199170.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 05 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 February 25 05:11 EST 2020. Contains 332217 sequences. (Running on oeis4.)