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A199053 Decimal expansion of greatest x satisfying x^2+3*sin(x)=-1. 3
3, 9, 5, 8, 0, 9, 2, 3, 4, 4, 6, 9, 1, 3, 7, 8, 3, 7, 5, 8, 2, 5, 4, 7, 9, 9, 4, 3, 4, 0, 5, 2, 1, 8, 9, 2, 5, 2, 3, 5, 7, 9, 4, 8, 7, 5, 1, 2, 6, 5, 5, 7, 7, 0, 9, 3, 7, 9, 1, 5, 1, 6, 5, 3, 6, 3, 6, 5, 2, 8, 5, 8, 6, 7, 4, 8, 6, 5, 4, 0, 4, 5, 7, 4, 0, 3, 0, 5, 1, 1, 4, 2, 7, 0, 4, 0, 3, 1, 9 (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

least: -1.39840306895670428191362107010033086...

greatest:  -0.3958092344691378375825479943405218925...

MATHEMATICA

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

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

Plot[{f[x], g[x]}, {x, -3, 2}, {AxesOrigin -> {0, 0}}]

r = x /. FindRoot[f[x] == g[x], {x, -1.4, -1.3}, WorkingPrecision -> 110]

RealDigits[r] (* A199052 *)

r = x /. FindRoot[f[x] == g[x], {x, -.4, -.3}, WorkingPrecision -> 110]

RealDigits[r] (* A199053 *)

CROSSREFS

Cf. A198866.

Sequence in context: A285264 A106586 A010633 * A200595 A197023 A096418

Adjacent sequences:  A199050 A199051 A199052 * A199054 A199055 A199056

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 02 2011

STATUS

approved

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Last modified August 20 06:04 EDT 2019. Contains 326139 sequences. (Running on oeis4.)