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A199395 Decimal expansion of x>0 satisfying 3*x^2+3*x*sin(x)=2. 1
5, 8, 5, 6, 3, 5, 4, 7, 6, 4, 9, 1, 1, 1, 7, 7, 7, 8, 2, 0, 0, 5, 9, 9, 5, 4, 4, 5, 5, 9, 5, 9, 2, 3, 2, 4, 9, 0, 9, 9, 8, 7, 7, 8, 4, 7, 4, 5, 6, 3, 3, 2, 8, 8, 2, 7, 8, 4, 2, 1, 7, 7, 4, 8, 8, 1, 2, 4, 5, 4, 0, 1, 1, 4, 7, 5, 5, 0, 2, 1, 7, 2, 6, 1, 5, 7, 1, 7, 0, 6, 6, 5, 0, 2, 1, 1, 2, 9, 1 (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=0.585635476491117778200599544559592324909987784745...

MATHEMATICA

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

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

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

r = x /. FindRoot[f[x] == g[x], {x, .58, .59}, WorkingPrecision -> 110]

RealDigits[r]   (* A199395 *)

CROSSREFS

Cf. A199370.

Sequence in context: A171541 A306204 A178331 * A100610 A101465 A010719

Adjacent sequences:  A199392 A199393 A199394 * A199396 A199397 A199398

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 06 2011

STATUS

approved

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Last modified October 17 17:21 EDT 2021. Contains 348065 sequences. (Running on oeis4.)