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A199792 Decimal expansion of x>0 satisfying 3*x^2-2*x*cos(x)=2*sin(x). 2
9, 5, 4, 9, 5, 6, 8, 5, 5, 8, 6, 2, 7, 9, 1, 4, 3, 4, 7, 2, 5, 7, 1, 4, 1, 1, 1, 6, 0, 9, 9, 5, 6, 1, 5, 7, 9, 6, 4, 9, 1, 2, 2, 5, 0, 6, 0, 6, 8, 6, 8, 6, 0, 5, 7, 5, 9, 6, 8, 5, 7, 5, 2, 9, 0, 3, 4, 9, 7, 4, 5, 9, 0, 1, 2, 0, 6, 4, 9, 1, 6, 2, 6, 2, 7, 1, 6, 3, 6, 5, 7, 7, 8, 1, 2, 8, 5, 4, 2 (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=0.9549568558627914347257141116099561579649122...

MATHEMATICA

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

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

Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]

r = x /. FindRoot[f[x] == g[x], {x, .95, .96}, WorkingPrecision -> 110]

RealDigits[r]    (* A199792 *)

CROSSREFS

Cf. A199597.

Sequence in context: A198933 A259148 A089491 * A193960 A195696 A197838

Adjacent sequences:  A199789 A199790 A199791 * A199793 A199794 A199795

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 10 2011

STATUS

approved

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Last modified November 13 12:45 EST 2019. Contains 329094 sequences. (Running on oeis4.)