A198565 Decimal expansion of x>0 having 4*x^2-2x=3*sin(x).

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

Offset

1,4

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=1.1061443730516389999214106261065086437215...

Mathematica

a = 4; b = -2; c = 3;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.2, 1.3}]
r = x /. FindRoot[f[x] == g[x], {x, 1.06, 1.07}, WorkingPrecision -> 110]
RealDigits[r] (* A198565 *)

Crossrefs

Cf. A198414.

Sequence in context: A200302 A082344 A021865 * A374838 A190409 A068226

Adjacent sequences: A198562 A198563 A198564 * A198566 A198567 A198568

Keyword

nonn,cons

Author

Clark Kimberling, Oct 26 2011

Status

approved