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A199669 Decimal expansion of x>0 satisfying 3*x^2+2*x*cos(x)=4*sin(x). 2
7, 1, 9, 8, 5, 9, 8, 6, 7, 2, 0, 4, 1, 1, 7, 6, 4, 9, 3, 6, 1, 1, 3, 3, 4, 4, 0, 9, 1, 0, 7, 0, 0, 9, 5, 3, 2, 3, 1, 1, 8, 6, 0, 3, 7, 4, 7, 5, 9, 5, 9, 4, 6, 2, 6, 8, 9, 8, 0, 2, 9, 4, 6, 0, 8, 9, 6, 0, 5, 8, 6, 9, 6, 8, 7, 8, 1, 5, 3, 9, 7, 6, 4, 6, 5, 0, 5, 2, 2, 5, 9, 0, 1, 5, 4, 3, 0, 8, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

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

LINKS

Table of n, a(n) for n=0..98.

EXAMPLE

x=0.7198598672041176493611334409107009532311...

MATHEMATICA

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

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

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

r = x /. FindRoot[f[x] == g[x], {x, .71, .72}, WorkingPrecision -> 110]

RealDigits[r]  (* A199669 *)

CROSSREFS

Cf. A199597.

Sequence in context: A296848 A282823 A200500 * A197019 A048835 A124970

Adjacent sequences:  A199666 A199667 A199668 * A199670 A199671 A199672

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 09 2011

STATUS

approved

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Last modified October 14 06:50 EDT 2019. Contains 327995 sequences. (Running on oeis4.)