login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A198231 Decimal expansion of greatest x having 3*x^2+3x=cos(x). 3
2, 5, 6, 5, 8, 4, 9, 3, 4, 2, 2, 3, 5, 6, 9, 4, 4, 0, 1, 5, 0, 4, 5, 7, 9, 4, 7, 4, 9, 9, 0, 9, 3, 5, 5, 9, 7, 4, 9, 3, 1, 3, 4, 1, 1, 9, 4, 6, 0, 6, 7, 2, 9, 3, 7, 2, 5, 2, 0, 1, 7, 4, 8, 4, 7, 5, 7, 2, 0, 4, 3, 3, 0, 3, 2, 9, 1, 8, 9, 9, 0, 1, 8, 4, 9, 6, 1, 4, 3, 3, 4, 1, 3, 0, 9, 1, 2, 6, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

See A197737 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

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

EXAMPLE

least x: -1.1269965961113996583452373843254048549...

greatest x: 0.25658493422356944015045794749909355...

MATHEMATICA

a = 3; b = 3; c = 1;

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

Plot[{f[x], g[x]}, {x, -2, 1}]

r1 = x /. FindRoot[f[x] == g[x], {x, -1.2, -1.1}, WorkingPrecision -> 110]

RealDigits[r1] (* A198230 *)

r2 = x /. FindRoot[f[x] == g[x], {x, .25, .26}, WorkingPrecision -> 110]

RealDigits[r2] (* A198231 *)

CROSSREFS

Cf. A197737.

Sequence in context: A103989 A239049 A161017 * A272207 A155947 A008294

Adjacent sequences:  A198228 A198229 A198230 * A198232 A198233 A198234

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 23 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 June 15 17:43 EDT 2019. Contains 324142 sequences. (Running on oeis4.)