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A199074 Decimal expansion of x>0 satisfying 2*x^2+3*sin(x)=2. 3
5, 1, 3, 2, 7, 4, 7, 7, 7, 7, 0, 2, 5, 6, 8, 2, 3, 4, 5, 1, 7, 1, 8, 5, 0, 4, 2, 0, 2, 4, 9, 9, 0, 2, 8, 7, 6, 3, 0, 7, 4, 1, 4, 1, 1, 3, 7, 0, 7, 7, 7, 1, 8, 1, 7, 2, 5, 5, 6, 9, 9, 4, 9, 2, 2, 6, 8, 7, 0, 1, 5, 7, 8, 5, 9, 8, 2, 1, 2, 8, 2, 1, 4, 2, 9, 2, 4, 7, 4, 0, 8, 2, 0, 3, 1, 6, 7, 5, 8 (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: -1.5811135842680126236235133011318966...

positive:  0.5132747777025682345171850420249902...

MATHEMATICA

a = 2; b = 3; 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, -1.6, -1.5}, WorkingPrecision -> 110]

RealDigits[r](* A199073 *)

r = x /. FindRoot[f[x] == g[x], {x, .51, .52}, WorkingPrecision -> 110]

RealDigits[r](* A199074 *)

CROSSREFS

Cf. A198866.

Sequence in context: A087262 A082343 A166125 * A343235 A153457 A057778

Adjacent sequences:  A199071 A199072 A199073 * A199075 A199076 A199077

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 03 2011

STATUS

approved

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