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A199452 Decimal expansion of x>0 satisfying 3*x^2+3*x*sin(x)=cos(x). 2
3, 9, 4, 7, 8, 4, 8, 4, 4, 9, 4, 1, 2, 8, 5, 9, 9, 7, 8, 1, 5, 2, 7, 3, 5, 3, 6, 2, 8, 9, 9, 5, 7, 0, 2, 5, 5, 3, 4, 7, 1, 7, 2, 2, 1, 1, 6, 4, 9, 7, 3, 5, 0, 5, 2, 6, 6, 8, 5, 5, 6, 4, 1, 3, 7, 6, 8, 4, 4, 6, 5, 8, 6, 5, 5, 8, 9, 7, 3, 3, 3, 9, 0, 7, 3, 6, 7, 8, 6, 9, 9, 1, 4, 1, 7, 4, 7, 8, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

See A199370 for a guide to related sequences. The Mathematica program includes a graph.

LINKS

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

EXAMPLE

x=0.3947848449412859978152735362899570255347172211...

MATHEMATICA

a = 3; b = 3; c = 1;

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

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

r = x /. FindRoot[f[x] == g[x], {x, .39, .40}, WorkingPrecision -> 110]

RealDigits[r] (* A199452 *)

CROSSREFS

Cf. A199429.

Sequence in context: A212992 A021721 A212002 * A249414 A011428 A070356

Adjacent sequences: A199449 A199450 A199451 * A199453 A199454 A199455

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 06 2011

STATUS

approved

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Last modified January 31 11:22 EST 2023. Contains 359971 sequences. (Running on oeis4.)