A198430 Decimal expansion of x>0 having x^2-2x=4*sin(x).

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

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=2.674098087050680851553639389992305676666...

Mathematica

a = 1; b = -2; c = 4;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.2, 3}]
r = x /. FindRoot[f[x] == g[x], {x, 2.67, 2.68}, WorkingPrecision -> 110]
RealDigits[r] (* A198430 *)

Crossrefs

Cf. A198414.

Sequence in context: A021378 A329246 A201891 * A065488 A016591 A021793

Adjacent sequences: A198427 A198428 A198429 * A198431 A198432 A198433

Keyword

nonn,cons

Author

Clark Kimberling, Oct 25 2011

Status

approved