A199720 Decimal expansion of x>0 satisfying x^2-x*cos(x)=3*sin(x).

1, 6, 7, 5, 7, 1, 3, 3, 5, 8, 1, 7, 7, 0, 1, 5, 2, 7, 0, 4, 0, 5, 4, 3, 4, 8, 9, 1, 5, 2, 9, 3, 0, 4, 6, 0, 2, 9, 7, 1, 7, 0, 1, 7, 0, 7, 7, 6, 4, 1, 4, 8, 9, 9, 7, 3, 1, 7, 4, 6, 6, 7, 6, 8, 1, 8, 4, 0, 9, 5, 0, 6, 8, 2, 0, 7, 2, 6, 1, 6, 0, 3, 0, 4, 1, 5, 2, 6, 7, 8, 4, 1, 6, 2, 3, 6, 8, 4, 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=1.67571335817701527040543489152930460297170170...

Mathematica

a = 1; b = -1; c = 3;
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, 1.6, 1.7}, WorkingPrecision -> 110]
RealDigits[r] (* A199720 *)

Crossrefs

Cf. A199597.

Sequence in context: A201519 A198507 A021152 * A157122 A193030 A035414

Adjacent sequences: A199717 A199718 A199719 * A199721 A199722 A199723

Keyword

nonn,cons

Author

Clark Kimberling, Nov 09 2011

Status

approved