A198572 Decimal expansion of x>0 satisfying 3*x^2-3x=4*sin(x).

1, 7, 4, 9, 8, 1, 0, 4, 9, 6, 2, 9, 8, 1, 8, 3, 3, 9, 8, 7, 6, 1, 2, 9, 7, 0, 6, 4, 7, 5, 3, 4, 8, 6, 6, 5, 2, 0, 1, 0, 0, 6, 4, 3, 2, 3, 3, 5, 0, 0, 4, 2, 5, 7, 1, 8, 9, 1, 1, 7, 0, 7, 7, 1, 8, 8, 1, 7, 7, 2, 5, 8, 1, 9, 7, 0, 6, 4, 1, 1, 7, 9, 4, 4, 3, 0, 7, 7, 6, 9, 1, 0, 2, 2, 7, 5, 7, 2, 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=1.74981049629818339876129706475348665201006...

Mathematica

a = 3; b = -3; c = 4;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.2, 1.5}]
r = x /. FindRoot[f[x] == g[x], {x, 1.74, 1.75}, WorkingPrecision -> 110]
RealDigits[r] (* A198572 *)

Crossrefs

Cf. A198414.

Sequence in context: A110644 A117028 A138282 * A155823 A195452 A103227

Adjacent sequences: A198569 A198570 A198571 * A198573 A198574 A198575

Keyword

nonn,cons

Author

Clark Kimberling, Oct 27 2011

Status

approved