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A199777 Decimal expansion of x>0 satisfying 2*x^2-3*x*cos(x)=4*sin(x). 2
1, 4, 8, 0, 5, 4, 6, 3, 3, 1, 7, 5, 4, 9, 1, 2, 0, 3, 7, 7, 6, 7, 6, 4, 3, 0, 5, 7, 9, 2, 3, 2, 7, 5, 8, 7, 3, 2, 9, 8, 5, 3, 8, 3, 0, 2, 7, 5, 8, 0, 3, 5, 3, 7, 3, 4, 1, 7, 0, 4, 6, 2, 9, 8, 7, 3, 8, 9, 1, 5, 6, 6, 9, 3, 9, 7, 3, 7, 1, 1, 7, 9, 3, 1, 8, 4, 7, 5, 2, 0, 5, 7, 3, 9, 5, 4, 7, 3, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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=1.48054633175491203776764305792327587329853...

MATHEMATICA

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

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, 1.48, 1.49}, WorkingPrecision -> 110]

RealDigits[r]   (* A199777 *)

CROSSREFS

Cf. A199597.

Sequence in context: A185578 A087264 A253191 * A200389 A195455 A195288

Adjacent sequences:  A199774 A199775 A199776 * A199778 A199779 A199780

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 10 2011

STATUS

approved

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Last modified June 18 18:52 EDT 2019. Contains 324215 sequences. (Running on oeis4.)