A198582 Decimal expansion of x>0 satisfying 3*x^2-4x=4*sin(x).

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

Offset

1,2

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=1.9617279516465398416096274016767531700...

Mathematica

a = 3; b = -4; c = 4;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.1, 2.3}]
r = x /. FindRoot[f[x] == g[x], {x, 1.96, 1.97}, WorkingPrecision -> 110]
RealDigits[r] (* A198582 *)

Crossrefs

Cf. A198414.

Sequence in context: A178809 A021108 A021840 * A199082 A358644 A220669

Adjacent sequences: A198579 A198580 A198581 * A198583 A198584 A198585

Keyword

nonn,cons

Author

Clark Kimberling, Oct 27 2011

Status

approved