A198506 Decimal expansion of x>0 having 4*x^2+x=3*sin(x).

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

Offset

0,1

Comments

See A198414 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=0..98.

Example

x=0.47241289894879831863122330183414454730...

Mathematica

a = 4; b = 1; c = 3;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.2, .6}]
r = x /. FindRoot[f[x] == g[x], {x, .47, .48}, WorkingPrecision -> 110]
RealDigits[r] (* A198506 *)

Crossrefs

Cf. A198414.

Sequence in context: A201403 A011351 A132026 * A130882 A164106 A348930

Adjacent sequences: A198503 A198504 A198505 * A198507 A198508 A198509

Keyword

nonn,cons

Author

Clark Kimberling, Oct 25 2011

Status

approved