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A199061 Decimal expansion of x<0 satisfying 2*x^2+sin(x)=1. 3
9, 5, 2, 6, 0, 9, 7, 8, 3, 7, 1, 1, 3, 0, 6, 7, 1, 3, 7, 4, 7, 3, 4, 8, 0, 7, 3, 7, 9, 2, 3, 6, 0, 7, 0, 5, 8, 6, 4, 4, 5, 2, 8, 6, 2, 8, 1, 4, 1, 4, 5, 1, 1, 1, 7, 3, 6, 0, 8, 6, 8, 2, 8, 4, 8, 5, 0, 5, 0, 2, 3, 7, 8, 5, 1, 3, 9, 0, 0, 6, 4, 0, 3, 1, 9, 7, 1, 4, 1, 4, 7, 4, 1, 2, 1, 7, 9, 7, 1 (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: -0.95260978371130671374734807379236070...

positive:  0.50711892841537397536307518244985199...

MATHEMATICA

a = 2; b = 1; 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, -.96, -.95}, WorkingPrecision -> 110]

RealDigits[r] (* A199061 *)

r = x /. FindRoot[f[x] == g[x], {x, .50, .51}, WorkingPrecision -> 110]

RealDigits[r] (* A199062 *)

CROSSREFS

Cf. A198866.

Sequence in context: A021109 A091132 A155165 * A075838 A094129 A021917

Adjacent sequences:  A199058 A199059 A199060 * A199062 A199063 A199064

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 02 2011

STATUS

approved

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Last modified February 18 00:28 EST 2020. Contains 332006 sequences. (Running on oeis4.)