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A199152 Decimal expansion of x<0 satisfying 3*x^2+2*sin(x)=1. 3
9, 3, 1, 9, 4, 4, 5, 3, 9, 1, 9, 6, 5, 7, 4, 8, 0, 8, 7, 5, 7, 9, 9, 4, 8, 2, 2, 2, 1, 9, 0, 3, 5, 7, 7, 7, 4, 3, 2, 4, 1, 6, 3, 2, 3, 9, 2, 4, 2, 2, 3, 1, 3, 6, 1, 2, 1, 0, 2, 9, 6, 0, 5, 1, 6, 3, 7, 4, 3, 3, 6, 3, 4, 4, 7, 8, 0, 9, 1, 8, 6, 6, 5, 1, 4, 5, 5, 7, 1, 6, 5, 7, 7, 3, 9, 3, 4, 5, 5 (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:  0.33648270192335281577039493761106778144...

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: A309893 A188887 A250091 * A306808 A086232 A133867

Adjacent sequences:  A199149 A199150 A199151 * A199153 A199154 A199155

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 03 2011

STATUS

approved

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Last modified February 20 17:04 EST 2020. Contains 332080 sequences. (Running on oeis4.)