A199151 Decimal expansion of x>0 satisfying 3*x^2+sin(x)=3.

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

Offset

0,1

Comments

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

Links

Table of n, a(n) for n=0..98.

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: A356034 A263181 A298978 * A343275 A177154 A059631

Adjacent sequences: A199148 A199149 A199150 * A199152 A199153 A199154

Keyword

nonn,cons

Author

Clark Kimberling, Nov 03 2011

Status

approved