A198428 Decimal expansion of x>0 having x^2-2x=2*sin(x).

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

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..99.

Example

x=2.488425259653566017487498494936179715450...

Mathematica

a = 1; b = -2; c = 2;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.2, 2.5}]
r = x /. FindRoot[f[x] == g[x], {x, 2.48, 2.49}, WorkingPrecision -> 110]
RealDigits[r] (* A198428 *)

Crossrefs

Cf. A198414.

Sequence in context: A133007 A141532 A197000 * A365251 A357159 A083550

Adjacent sequences: A198425 A198426 A198427 * A198429 A198430 A198431

Keyword

nonn,cons

Author

Clark Kimberling, Oct 25 2011

Status

approved