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A199082 Decimal expansion of x<0 satisfying x^2+2*sin(x)=2. 3
1, 9, 6, 1, 8, 8, 4, 2, 4, 6, 4, 1, 0, 8, 3, 4, 8, 9, 3, 4, 1, 9, 2, 8, 0, 7, 7, 9, 7, 7, 4, 8, 9, 4, 2, 6, 8, 2, 5, 7, 4, 7, 1, 2, 0, 7, 1, 2, 7, 2, 1, 8, 6, 6, 5, 5, 2, 0, 8, 9, 8, 6, 8, 6, 9, 2, 3, 2, 5, 8, 8, 5, 0, 6, 8, 5, 9, 0, 3, 7, 8, 4, 0, 1, 3, 8, 9, 0, 9, 6, 5, 8, 4, 8, 8, 1, 9, 0, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

LINKS

Table of n, a(n) for n=1..99.

EXAMPLE

negative: -1.96188424641083489341928077977489...

positive:  0.77498081442304344595859350247040...

MATHEMATICA

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

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, -1.97, -1.96}, WorkingPrecision -> 110]

RealDigits[r](* A199082 *)

r = x /. FindRoot[f[x] == g[x], {x, .77, .78}, WorkingPrecision -> 110]

RealDigits[r](* A199083 *)

CROSSREFS

Cf. A198866.

Sequence in context: A021108 A021840 A198582 * A220669 A064230 A286331

Adjacent sequences:  A199079 A199080 A199081 * A199083 A199084 A199085

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 02 2011

STATUS

approved

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Last modified November 17 19:09 EST 2018. Contains 317276 sequences. (Running on oeis4.)