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!)
A199294 Decimal expansion of x>0 satisfying 3*x^2+3*x*cos(x)=2. 3
4, 8, 6, 4, 5, 7, 5, 0, 4, 6, 1, 6, 8, 6, 6, 3, 7, 4, 5, 7, 5, 4, 4, 1, 2, 8, 4, 4, 9, 3, 7, 5, 2, 8, 5, 2, 6, 3, 6, 2, 0, 3, 2, 2, 6, 0, 8, 4, 6, 7, 9, 6, 1, 3, 5, 3, 1, 3, 7, 5, 2, 5, 6, 4, 5, 2, 2, 8, 3, 1, 9, 3, 2, 1, 1, 4, 5, 1, 8, 1, 0, 3, 3, 7, 9, 3, 7, 0, 6, 9, 2, 4, 2, 7, 5, 5, 2, 8, 3 (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: -1.0835116610219289883304749103821255...

positive:  0.48645750461686637457544128449375285...

MATHEMATICA

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

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

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

r = x /. FindRoot[f[x] == g[x], {x, -1, -.9}, WorkingPrecision -> 110]

RealDigits[r]     (* A199293 *)

r = x /. FindRoot[f[x] == g[x], {x, .48, .49}, WorkingPrecision -> 110]

RealDigits[r]    (* A199294 *)

CROSSREFS

Cf. A199170.

Sequence in context: A201335 A219246 A296488 * A155741 A243376 A200411

Adjacent sequences:  A199291 A199292 A199293 * A199295 A199296 A199297

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.)