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A199153 Decimal expansion of x>0 satisfying 3*x^2+2*sin(x)=1. 3
3, 3, 6, 4, 8, 2, 7, 0, 1, 9, 2, 3, 3, 5, 2, 8, 1, 5, 7, 7, 0, 3, 9, 4, 9, 3, 7, 6, 1, 1, 0, 6, 7, 7, 8, 1, 4, 4, 3, 6, 5, 3, 0, 1, 1, 7, 8, 4, 0, 0, 3, 6, 7, 9, 4, 6, 8, 5, 6, 3, 5, 3, 2, 4, 2, 5, 3, 4, 9, 3, 1, 1, 2, 9, 0, 3, 6, 8, 3, 7, 2, 5, 6, 4, 9, 3, 2, 1, 7, 3, 9, 8, 2, 0, 0, 1, 7, 2, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

See A198866 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

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

EXAMPLE

negative: -0.93194453919657480875799482221903577743...

positive:  0.336482701923352815770394937611067781443...

MATHEMATICA

a = 3; b = 2; c = 1;

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

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

r = x /. FindRoot[f[x] == g[x], {x, -.94, -.93}, WorkingPrecision -> 110]

RealDigits[r]  (* A199152 *)

r = x /. FindRoot[f[x] == g[x], {x, .33, .34}, WorkingPrecision -> 110]

RealDigits[r]  (* A199153 *)

CROSSREFS

Cf. A198866.

Sequence in context: A155169 A144624 A023827 * A182627 A135986 A284614

Adjacent sequences:  A199150 A199151 A199152 * A199154 A199155 A199156

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 03 2011

STATUS

approved

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Last modified February 24 10:27 EST 2020. Contains 332209 sequences. (Running on oeis4.)