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!)
A199277 Decimal expansion of x<0 satisfying 2*x^2+3*x*cos(x)=3. 3

%I

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

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

%U 1,5,2,2,5,2,9,5,3,0,9,3,0,3,0,8,3,0,1,1,8,3,8,8,2,0,2,3,9,3,8

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

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

%e negative: -1.3773686718388251570629963805293335...

%e positive: 0.8134750235542935510898993411693045...

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

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

%t Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, -1.4, -1.3}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199277 *)

%t r = x /. FindRoot[f[x] == g[x], {x, .81, .82}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199278 *)

%Y Cf. A199170.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 04 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 16 21:37 EST 2020. Contains 331975 sequences. (Running on oeis4.)