A198568 Decimal expansion of x>0 satisfying 2*x^2-3x=3*sin(x).

2, 1, 1, 0, 0, 2, 1, 9, 8, 8, 4, 5, 7, 5, 4, 0, 1, 0, 5, 8, 4, 4, 9, 9, 4, 5, 5, 5, 2, 8, 4, 5, 6, 3, 2, 6, 5, 1, 4, 7, 7, 3, 6, 6, 8, 1, 4, 4, 0, 4, 3, 8, 2, 5, 6, 4, 8, 6, 1, 4, 9, 9, 4, 1, 4, 6, 2, 5, 2, 8, 5, 8, 7, 4, 0, 3, 3, 2, 4, 3, 2, 0, 5, 2, 9, 6, 9, 3, 6, 2, 7, 8, 6, 0, 8, 4, 7, 7, 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=2.110021988457540105844994555284563265147736...

Mathematica

a = 2; b = -3; c = 3;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.2, 2.4}]
r = x /. FindRoot[f[x] == g[x], {x, 2.11, 2.12}, WorkingPrecision -> 110]
RealDigits[r] (* A198568 *)

Crossrefs

Cf. A198414.

Sequence in context: A368571 A178670 A026921 * A327310 A232539 A157044

Adjacent sequences: A198565 A198566 A198567 * A198569 A198570 A198571

Keyword

nonn,cons

Author

Clark Kimberling, Oct 27 2011

Status

approved