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A199150
Decimal expansion of x<0 satisfying 3*x^2+sin(x)=3.
3
1, 1, 4, 1, 5, 2, 9, 8, 6, 4, 6, 4, 2, 3, 9, 2, 5, 6, 2, 7, 0, 7, 5, 0, 6, 6, 0, 5, 6, 2, 9, 4, 8, 6, 7, 7, 8, 4, 6, 7, 2, 7, 2, 6, 6, 3, 6, 4, 1, 5, 7, 9, 5, 5, 0, 7, 5, 8, 6, 1, 6, 9, 7, 2, 5, 6, 0, 8, 6, 3, 1, 1, 9, 6, 7, 3, 5, 7, 4, 4, 7, 8, 8, 7, 7, 9, 0, 4, 6, 9, 5, 4, 3, 7, 2, 5, 7, 8, 4
OFFSET
1,3
COMMENTS
See A198866 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
negative: -1.1415298646423925627075066056294867784...
positive: 0.86401127242790345732955031503590029470...
MATHEMATICA
a = 3; b = 1; 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, -1.2, -1.1}, WorkingPrecision -> 110]
RealDigits[r] (* A199150 *)
r = x /. FindRoot[f[x] == g[x], {x, .86, .87}, WorkingPrecision -> 110]
RealDigits[r] (* A199151 *)
CROSSREFS
Cf. A198866.
Sequence in context: A080414 A067061 A115210 * A329215 A214892 A030352
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 03 2011
STATUS
approved