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A199067 Decimal expansion of x<0 satisfying 2*x^2+2*sin(x)=1. 3
1, 1, 9, 6, 0, 8, 2, 0, 3, 3, 2, 9, 7, 1, 3, 4, 8, 1, 9, 1, 4, 5, 6, 2, 1, 9, 5, 2, 9, 4, 1, 0, 4, 3, 2, 1, 1, 5, 9, 7, 2, 0, 4, 7, 1, 5, 9, 5, 9, 6, 8, 3, 8, 0, 5, 1, 0, 2, 3, 8, 0, 7, 4, 0, 4, 9, 8, 1, 6, 1, 1, 3, 2, 3, 3, 5, 5, 1, 9, 8, 2, 1, 9, 3, 1, 4, 3, 5, 8, 7, 7, 8, 5, 0, 2, 9, 8, 7, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,3

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: -1.19608203329713481914562195294104321159720...

positive:  0.37088734011199207060142934573448899294899...

MATHEMATICA

a = 2; 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, -1.2, -1.1}, WorkingPrecision -> 110]

RealDigits[r]  (* A199067 *)

r = x /. FindRoot[f[x] == g[x], {x, .37, .38}, WorkingPrecision -> 110]

RealDigits[r]  (* A199068 *)

CROSSREFS

Cf. A198866.

Sequence in context: A130590 A197413 A021055 * A011114 A298243 A020783

Adjacent sequences:  A199064 A199065 A199066 * A199068 A199069 A199070

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 02 2011

STATUS

approved

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Last modified September 18 20:18 EDT 2019. Contains 327181 sequences. (Running on oeis4.)