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A199067 Decimal expansion of x < 0 satisfying 2*x^2+2*sin(x) = 1. 3
1, 1, 9, 6, 0, 8, 2, 0, 3, 3, 2, 9, 7, 1, 3, 4, 8, 1, 9, 1, 4, 5, 6, 2, 1, 9, 5, 2, 9, 4, 1, 0, 4, 3, 2, 1, 1, 5, 9, 7, 2, 0, 4, 7, 1, 5, 9, 5, 9, 6, 8, 3, 8, 0, 5, 1, 0, 2, 3, 8, 0, 7, 4, 0, 4, 9, 8, 1, 6, 1, 1, 3, 2, 3, 3, 5, 5, 1, 9, 8, 2, 1, 9, 3, 1, 4, 3, 5, 8, 7, 7, 9, 5, 7, 3, 7, 8, 6, 2, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
See A198866 for a guide to related sequences. The Mathematica program includes a graph.
LINKS
EXAMPLE
negative: -1.19608203329713481914562195294104321159720...
positive: 0.37088734011199207060142934573448899294899...
MATHEMATICA
a = 2; b = 2; c = 1;
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] (* A199067 *)
r = x /. FindRoot[f[x] == g[x], {x, .37, .38}, WorkingPrecision -> 110]
RealDigits[r] (* A199068 *)
CROSSREFS
Cf. A198866.
Sequence in context: A130590 A197413 A021055 * A291909 A011114 A298243
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 02 2011
EXTENSIONS
a(92) onwards corrected by Georg Fischer, Aug 01 2021
STATUS
approved

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Last modified October 2 23:30 EDT 2023. Contains 365841 sequences. (Running on oeis4.)