login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A199290 Decimal expansion of x>0 satisfying 3*x^2+2*x*cos(x)=3. 3
7, 9, 3, 1, 0, 7, 1, 6, 5, 1, 2, 2, 0, 9, 2, 0, 1, 3, 0, 8, 4, 6, 9, 6, 6, 9, 8, 6, 7, 1, 6, 6, 6, 8, 9, 3, 8, 6, 3, 1, 0, 9, 4, 6, 7, 3, 5, 4, 9, 4, 7, 5, 9, 1, 6, 0, 7, 6, 9, 0, 7, 5, 2, 1, 1, 6, 4, 6, 1, 1, 1, 6, 3, 3, 2, 0, 6, 2, 4, 6, 3, 0, 5, 5, 8, 8, 2, 3, 7, 3, 3, 0, 5, 2, 0, 0, 7, 6, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

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

LINKS

Table of n, a(n) for n=0..98.

EXAMPLE

negative: -1.1465729939312446659051094914162065825...

positive:  0.79310716512209201308469669867166689386...

MATHEMATICA

a = 3; b = 2; c = 3;

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

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

r = x /. FindRoot[f[x] == g[x], {x, -1.2, -1.1}, WorkingPrecision -> 110]

RealDigits[r]    (* A199289 *)

r = x /. FindRoot[f[x] == g[x], {x, .79, .80}, WorkingPrecision -> 110]

RealDigits[r]    (* A199290 *)

CROSSREFS

Cf. A199170.

Sequence in context: A316246 A249546 A110793 * A309644 A001903 A011345

Adjacent sequences:  A199287 A199288 A199289 * A199291 A199292 A199293

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 05 2011

STATUS

approved

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 January 22 10:25 EST 2020. Contains 331144 sequences. (Running on oeis4.)