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A199070 Decimal expansion of x>0 satisfying 2*x^2+2*sin(x)=3. 3
8, 6, 1, 0, 7, 7, 6, 7, 4, 7, 3, 9, 5, 5, 2, 9, 9, 0, 2, 4, 1, 9, 8, 2, 3, 6, 5, 6, 7, 0, 3, 7, 7, 6, 3, 1, 0, 9, 4, 3, 0, 3, 9, 3, 3, 5, 8, 1, 2, 7, 3, 9, 0, 8, 9, 2, 8, 5, 6, 4, 3, 0, 9, 6, 2, 6, 0, 8, 4, 5, 1, 8, 3, 9, 2, 1, 6, 9, 4, 9, 3, 0, 5, 8, 6, 3, 0, 8, 4, 2, 1, 8, 8, 4, 7, 9, 5, 1, 1 (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: -1.58112197220741191831288311802822735850...

positive:  0.86107767473955299024198236567037763109430...

MATHEMATICA

a = 2; b = 2; c = 3;

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, -1.6, -1.5}, WorkingPrecision -> 110]

RealDigits[r](* A199069 *)

r = x /. FindRoot[f[x] == g[x], {x, .86, .87}, WorkingPrecision -> 110]

RealDigits[r] (* A199070 *)

CROSSREFS

Cf. A198866.

Sequence in context: A010115 A268438 A197759 * A011009 A155184 A153101

Adjacent sequences:  A199067 A199068 A199069 * A199071 A199072 A199073

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 02 2011

STATUS

approved

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Last modified August 26 01:23 EDT 2019. Contains 326324 sequences. (Running on oeis4.)