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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A198363 Decimal expansion of least x having 4*x^2+3x=2*cos(x). 3
1, 0, 1, 1, 9, 6, 4, 0, 7, 1, 9, 5, 4, 1, 5, 9, 6, 5, 5, 1, 6, 4, 3, 9, 2, 2, 5, 1, 6, 8, 6, 8, 1, 0, 4, 7, 8, 4, 3, 1, 4, 0, 0, 1, 4, 0, 3, 1, 8, 0, 2, 4, 9, 9, 0, 9, 8, 2, 2, 2, 2, 1, 0, 5, 2, 6, 4, 8, 1, 9, 8, 6, 2, 5, 9, 0, 1, 3, 6, 4, 3, 3, 5, 8, 7, 3, 1, 1, 1, 5, 1, 0, 7, 8, 2, 1, 9, 9, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

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

LINKS

Table of n, a(n) for n=1..99.

EXAMPLE

least x: -1.0119640719541596551643922516868104...

greatest x: 0.4003039952551859146306371868342035...

MATHEMATICA

a = 4; b = 3; c = 2;

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, -1.1, -1.0}, WorkingPrecision -> 110]

RealDigits[r1] (* A198363 *)

r2 = x /. FindRoot[f[x] == g[x], {x, .4, .41}, WorkingPrecision -> 110]

RealDigits[r2] (* A198364 *)

CROSSREFS

Cf. A197737.

Sequence in context: A099817 A262701 A200280 * A253267 A010544 A198869

Adjacent sequences:  A198360 A198361 A198362 * A198364 A198365 A198366

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 24 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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified June 21 21:34 EDT 2018. Contains 305646 sequences. (Running on oeis4.)