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

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A198993 Decimal expansion of x>0 satisfying 4*x^2-2*cos(x)=3. 2
1, 0, 0, 8, 2, 9, 2, 1, 6, 7, 8, 8, 8, 8, 3, 5, 4, 7, 1, 4, 2, 7, 8, 0, 9, 8, 5, 3, 9, 9, 1, 6, 8, 6, 6, 4, 7, 3, 3, 4, 3, 7, 8, 4, 2, 3, 3, 7, 0, 5, 6, 4, 7, 5, 8, 9, 0, 9, 4, 7, 0, 9, 9, 4, 1, 4, 9, 0, 7, 7, 0, 2, 7, 0, 2, 1, 1, 3, 1, 6, 0, 4, 8, 7, 8, 2, 8, 5, 2, 0, 9, 5, 5, 3, 8, 6, 2, 5, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

See A198755 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

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

EXAMPLE

x=1.008292167888835471427809853991686647334378423...

MATHEMATICA

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

f[x_] := a*x^2 + b*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, 1.01}, WorkingPrecision -> 110]

RealDigits[r] (* A198993 *)

CROSSREFS

Cf. A198755.

Sequence in context: A278809 A278261 A019865 * A119523 A181164 A154212

Adjacent sequences:  A198990 A198991 A198992 * A198994 A198995 A198996

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 01 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 December 10 23:13 EST 2016. Contains 279021 sequences.