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A199868 Decimal expansion of x>0 satisfying 4*x^2-3*x*cos(x)=4*sin(x). 2
1, 1, 2, 5, 1, 9, 8, 3, 7, 9, 6, 7, 8, 5, 4, 5, 4, 9, 9, 7, 7, 1, 1, 9, 7, 1, 7, 0, 6, 2, 2, 8, 8, 9, 8, 0, 9, 8, 5, 9, 8, 5, 3, 3, 9, 2, 3, 3, 2, 8, 2, 7, 2, 1, 9, 4, 7, 1, 3, 2, 5, 9, 0, 8, 8, 2, 1, 2, 5, 3, 0, 6, 3, 6, 0, 4, 5, 0, 7, 2, 2, 2, 5, 2, 3, 1, 6, 9, 1, 0, 9, 1, 9, 9, 7, 8, 1, 6, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,3

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=1.1251983796785454997711971706228898098598533...

MATHEMATICA

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

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

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

r = x /. FindRoot[f[x] == g[x], {x, 1.12, 1.13}, WorkingPrecision -> 110]

RealDigits[r]   (* A199868 *)

CROSSREFS

Cf. A199597.

Sequence in context: A280637 A271872 A286677 * A010588 A085358 A146104

Adjacent sequences:  A199865 A199866 A199867 * A199869 A199870 A199871

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 11 2011

STATUS

approved

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Last modified March 24 06:56 EDT 2019. Contains 321444 sequences. (Running on oeis4.)