A199786 Decimal expansion of x>0 satisfying 3*x^2-4*x*cos(x)=sin(x).

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

Offset

1,5

Comments

See A199597 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=1..99.

Example

x=1.000401978886349072576800182201212279659791...

Mathematica

a = 3; b = -4; c = 1;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.0, 1.1}, WorkingPrecision -> 110]
RealDigits[r]    (* A199786 *)

Crossrefs

Cf. A199597.

Sequence in context: A221483 A121408 A186761 * A348129 A189245 A342372

Adjacent sequences: A199783 A199784 A199785 * A199787 A199788 A199789

Keyword

nonn,cons

Author

Clark Kimberling, Nov 10 2011

Status

approved