

A199073


Decimal expansion of x<0 satisfying 2*x^2+3*sin(x)=2.


3



1, 5, 8, 1, 1, 1, 3, 5, 8, 4, 2, 6, 8, 0, 1, 2, 6, 2, 3, 6, 2, 3, 5, 1, 3, 3, 0, 1, 1, 3, 1, 8, 9, 6, 6, 7, 8, 7, 2, 0, 2, 3, 7, 3, 1, 0, 7, 9, 2, 1, 8, 9, 5, 8, 1, 2, 5, 2, 1, 2, 1, 0, 4, 8, 8, 9, 3, 3, 9, 5, 3, 3, 2, 1, 6, 1, 0, 1, 2, 1, 9, 4, 3, 5, 4, 0, 9, 3, 2, 0, 7, 4, 2, 5, 9, 6, 1, 2, 7
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OFFSET

1,2


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: 1.5811135842680126236235133011318966...
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 *)


PROG

(PARI) solve(x=1, 2, 2*x^23*sin(x)2) \\ Charles R Greathouse IV, Dec 06 2016


CROSSREFS

Cf. A198866.
Sequence in context: A140249 A335928 A081564 * A199069 A020797 A199661
Adjacent sequences: A199070 A199071 A199072 * A199074 A199075 A199076


KEYWORD

nonn,cons


AUTHOR

Clark Kimberling, Nov 03 2011


STATUS

approved



