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A199068 Decimal expansion of x > 0 satisfying 2*x^2+2*sin(x) = 1. 3
3, 7, 0, 8, 8, 7, 3, 4, 0, 1, 1, 1, 9, 9, 2, 0, 7, 0, 6, 0, 1, 4, 2, 9, 3, 4, 5, 7, 3, 4, 4, 8, 8, 9, 9, 2, 9, 4, 8, 9, 9, 8, 3, 1, 9, 9, 9, 7, 2, 7, 6, 9, 5, 6, 8, 7, 9, 0, 7, 1, 7, 0, 5, 0, 6, 9, 2, 0, 6, 6, 0, 3, 0, 4, 2, 1, 8, 8, 7, 2, 5, 9, 7, 7, 7, 2, 4, 6, 4, 4, 9, 4, 1, 0, 7, 7, 1, 4, 6 (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: -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: A192044 A010622 A103844 * A198490 A247956 A295043

Adjacent sequences:  A199065 A199066 A199067 * A199069 A199070 A199071

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 02 2011

EXTENSIONS

a(82) onwards corrected by Georg Fischer, Aug 01 2021

STATUS

approved

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Last modified December 1 14:10 EST 2021. Contains 349430 sequences. (Running on oeis4.)