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A199601 Decimal expansion of x>0 satisfying x^2+2*x*cos(x)=3*sin(x). 2
2, 3, 0, 6, 4, 7, 8, 3, 4, 7, 1, 0, 4, 8, 0, 2, 6, 8, 7, 7, 0, 5, 9, 0, 6, 4, 3, 9, 6, 6, 9, 2, 0, 9, 2, 4, 6, 6, 5, 8, 7, 8, 6, 5, 4, 2, 2, 7, 8, 7, 0, 3, 5, 8, 3, 1, 2, 8, 1, 4, 4, 5, 4, 6, 8, 0, 1, 3, 9, 1, 8, 3, 1, 5, 7, 4, 3, 0, 8, 2, 4, 7, 9, 5, 1, 8, 9, 0, 3, 4, 5, 1, 0, 4, 7, 2, 4, 8, 6 (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

x=2.3064783471048026877059064396692092466587...

MATHEMATICA

a = 1; b = 2; c = 3;

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

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

r = x /. FindRoot[f[x] == g[x], {x, 2.3, 2.4}, WorkingPrecision -> 110]

RealDigits[r]  (* A199601 *)

CROSSREFS

Cf. A199597.

Sequence in context: A173720 A173717 A058301 * A231602 A097287 A233672

Adjacent sequences:  A199598 A199599 A199600 * A199602 A199603 A199604

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 08 2011

STATUS

approved

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Last modified June 23 05:41 EDT 2021. Contains 345395 sequences. (Running on oeis4.)