A198490 Decimal expansion of x>0 having x^2-4x=2*sin(x).

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

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=3.70986661006749719419447510145732666...

Mathematica

a = 1; b = -4; c = 2;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.2, 4}]
r = x /. FindRoot[f[x] == g[x], {x, 3.7, 3.71}, WorkingPrecision -> 110]
RealDigits[r] (* A198490 *)

Crossrefs

Cf. A198414.

Sequence in context: A010622 A103844 A199068 * A354797 A247956 A295043

Adjacent sequences: A198487 A198488 A198489 * A198491 A198492 A198493

Keyword

nonn,cons

Author

Clark Kimberling, Oct 25 2011

Status

approved