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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
OFFSET
0,1
COMMENTS
See A198866 for a guide to related sequences. The Mathematica program includes a graph.
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: A268438 A329090 A197759 * A372268 A011009 A155184
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 02 2011
STATUS
approved