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!)
A198142 Decimal expansion of least x having x^2-3x=-3*cos(x). 3
8, 9, 2, 9, 1, 0, 7, 1, 1, 4, 1, 7, 7, 7, 5, 2, 7, 3, 7, 3, 9, 9, 6, 8, 3, 1, 8, 3, 1, 7, 0, 4, 5, 6, 9, 8, 6, 9, 3, 9, 7, 7, 5, 0, 3, 1, 2, 4, 3, 6, 6, 5, 2, 2, 8, 2, 9, 0, 2, 9, 8, 6, 4, 1, 2, 7, 0, 7, 0, 4, 6, 7, 0, 0, 5, 0, 2, 4, 0, 7, 4, 7, 2, 4, 8, 9, 6, 6, 3, 4, 0, 7, 0, 3, 0, 0, 6, 9, 3 (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: 0.89291071141777527373996831831704569...

greatest x: 3.6923477739279898601828477062994010...

MATHEMATICA

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

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

Plot[{f[x], g[x]}, {x, -1, 4}]

r1 = x /. FindRoot[f[x] == g[x], {x, 0.89, 0.90}, WorkingPrecision -> 110]

RealDigits[r1] (* A198142 *)

r2 = x /. FindRoot[f[x] == g[x], {x, 3.6, 3.7}, WorkingPrecision -> 110]

RealDigits[r2] (* A198143 *)

CROSSREFS

Cf. A197737.

Sequence in context: A021116 A201406 A242972 * A202623 A266261 A117914

Adjacent sequences:  A198139 A198140 A198141 * A198143 A198144 A198145

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 21 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 16:37 EST 2020. Contains 331152 sequences. (Running on oeis4.)