A199071 Decimal expansion of x<0 satisfying 2*x^2+3*sin(x)=1.

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

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: -1.40710663976303990599616688903595712850...
positive:  0.28352555144412274861845117327862135032...

Mathematica

a = 2; b = 3; 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, -1.5, -1.4}, WorkingPrecision -> 110]
RealDigits[r] (* A199071 *)
r = x /. FindRoot[f[x] == g[x], {x, .28, .29}, WorkingPrecision -> 110]
RealDigits[r] (* A199072 *)

Crossrefs

Cf. A198866.

Sequence in context: A366408 A052400 A354450 * A351898 A157698 A342360

Adjacent sequences: A199068 A199069 A199070 * A199072 A199073 A199074

Keyword

nonn,cons

Author

Clark Kimberling, Nov 02 2011

Status

approved