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A199058 Decimal expansion of x<0 satisfying x^2+3*sin(x)=3. 3
2, 2, 9, 1, 9, 6, 5, 0, 4, 1, 2, 6, 7, 4, 2, 8, 6, 4, 9, 0, 9, 5, 1, 3, 3, 1, 1, 8, 3, 9, 4, 4, 4, 3, 3, 8, 9, 5, 3, 7, 0, 8, 4, 4, 8, 8, 9, 5, 3, 1, 5, 0, 9, 7, 9, 1, 1, 5, 2, 1, 5, 3, 3, 5, 1, 5, 4, 7, 8, 6, 1, 2, 5, 9, 9, 2, 9, 0, 7, 7, 1, 8, 0, 8, 4, 2, 3, 3, 8, 3, 5, 8, 8, 9, 2, 2, 4, 7, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

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: -2.2919650412674286490951331183944433...

positive:  0.8564305559075611794636325387524829760...

MATHEMATICA

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

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, -2.3, -2.2}, WorkingPrecision -> 110]

RealDigits[r]  (* A199058 *)

r = x /. FindRoot[f[x] == g[x], {x, .85, .86}, WorkingPrecision -> 110]

RealDigits[r] (* A199059 *)

CROSSREFS

Cf. A198866.

Sequence in context: A176020 A048650 A125313 * A274569 A082838 A074961

Adjacent sequences:  A199055 A199056 A199057 * A199059 A199060 A199061

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 02 2011

STATUS

approved

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Last modified October 14 23:43 EDT 2019. Contains 328025 sequences. (Running on oeis4.)