A198502 Decimal expansion of x>0 having 3*x^2=2*sin(x).

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

Offset

0,1

Comments

See A198414 for a guide to related sequences. The Mathematica program includes a graph.

Links

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

Example

x=0.624209287048327558005941450439200...
.
cons

Mathematica

a = 3; b = 0; c = 2;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.2, 1}]
r = x /. FindRoot[f[x] == g[x], {x, .62, .63}, WorkingPrecision -> 110]
RealDigits[r] (* A198502 *)

Crossrefs

Cf. A198414

Sequence in context: A239578 A248273 A176396 * A244858 A354782 A064925

Adjacent sequences: A198499 A198500 A198501 * A198503 A198504 A198505

Keyword

nonn,cons

Author

Clark Kimberling, Oct 25 2011

Status

approved