A199067 Decimal expansion of x < 0 satisfying 2*x^2+2*sin(x) = 1.

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

Offset

1,3

Comments

See A198866 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=1..100.

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

Adjacent sequences: A199064 A199065 A199066 * A199068 A199069 A199070

Keyword

nonn,cons

Author

Clark Kimberling, Nov 02 2011

Extensions

a(92) onwards corrected by Georg Fischer, Aug 01 2021

Status

approved