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A199869 Decimal expansion of x>0 satisfying 4*x^2-3*x*cos(x)=3*sin(x). 2
1, 0, 1, 9, 5, 0, 4, 6, 3, 9, 3, 1, 5, 1, 7, 6, 3, 5, 2, 8, 8, 2, 8, 4, 5, 3, 7, 8, 6, 5, 5, 2, 7, 1, 4, 6, 7, 3, 0, 1, 9, 2, 1, 7, 1, 9, 3, 3, 3, 8, 9, 0, 3, 5, 5, 1, 1, 3, 6, 1, 0, 3, 5, 9, 2, 2, 2, 0, 5, 9, 0, 9, 0, 2, 5, 4, 9, 0, 5, 0, 4, 6, 4, 0, 4, 7, 9, 8, 6, 3, 3, 3, 1, 6, 5, 7, 8, 6, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,4

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=1.019504639315176352882845378655271467301921719333...

MATHEMATICA

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

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, 1.01, 1.02}, WorkingPrecision -> 110]

RealDigits[r]    (* A199869 *)

CROSSREFS

Cf. A199597.

Sequence in context: A177973 A145436 A199509 * A197378 A232738 A201395

Adjacent sequences:  A199866 A199867 A199868 * A199870 A199871 A199872

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 11 2011

STATUS

approved

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Last modified September 2 14:44 EDT 2014. Contains 246361 sequences.