A199724 Decimal expansion of x>0 satisfying x^2-2*x*cos(x)=3*sin(x).

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

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=1.651000934439715798306848089804572814415828...

Mathematica

a = 1; b = -2; c = 3;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -2 Pi, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.65, 1.66}, WorkingPrecision -> 110]
RealDigits[r]   (* A199724 *)

Crossrefs

Cf. A199597.

Sequence in context: A352527 A261992 A278760 * A373019 A126743 A046613

Adjacent sequences: A199721 A199722 A199723 * A199725 A199726 A199727

Keyword

nonn,cons

Author

Clark Kimberling, Nov 09 2011

Status

approved