A199719 Decimal expansion of x>0 satisfying x^2-x*cos(x)=4*sin(x).

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

Offset

1,2

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=1.837188730015143924257569441622008232558...

Mathematica

a = 1; b = -1; c = 4;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.8, 1.9}, WorkingPrecision -> 110]
RealDigits[r]  (* A199719 *)

Crossrefs

Cf. A199597.

Sequence in context: A307106 A372857 A277775 * A301813 A206161 A131654

Adjacent sequences: A199716 A199717 A199718 * A199720 A199721 A199722

Keyword

nonn,cons

Author

Clark Kimberling, Nov 09 2011

Status

approved