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

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A199610 Decimal expansion of greatest x satisfying x^2+3*x*cos(x)=3*sin(x). 3
3, 0, 6, 5, 6, 2, 0, 7, 6, 0, 3, 3, 6, 8, 5, 8, 5, 6, 1, 8, 6, 7, 4, 5, 7, 5, 5, 2, 8, 5, 0, 8, 2, 1, 3, 2, 5, 0, 6, 5, 4, 0, 2, 0, 6, 8, 2, 0, 1, 7, 0, 6, 2, 6, 3, 9, 9, 4, 5, 6, 9, 0, 5, 4, 3, 3, 1, 2, 5, 4, 8, 2, 7, 3, 8, 3, 4, 7, 4, 3, 0, 4, 4, 5, 7, 0, 8, 1, 7, 8, 0, 0, 8, 7, 6, 1, 4, 1, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A199597 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

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

EXAMPLE

least: 1.14225640224474011004461587823586435251534483...

greatest:  3.0656207603368585618674575528508213250654...

MATHEMATICA

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

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

Plot[{f[x], g[x]}, {x, -1, 4}, {AxesOrigin -> {0, 0}}]

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

RealDigits[r]  (* A199609, least of 3 roots *)

r = x /. FindRoot[f[x] == g[x], {x, 3, 3.1}, WorkingPrecision -> 110]

RealDigits[r]  (* A199610, greatest of 3 roots *)

CROSSREFS

Cf. A199597.

Sequence in context: A062542 A109693 A188858 * A004606 A019808 A182145

Adjacent sequences:  A199607 A199608 A199609 * A199611 A199612 A199613

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 08 2011

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified December 20 21:34 EST 2014. Contains 252289 sequences.