A199722 Decimal expansion of x>0 satisfying x^2-x*cos(x)=sin(x).

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

Offset

1,3

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=1.1731483808554040795359832268729226388...

Mathematica

a = 1; b = -1; c = 1;
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, 1.17, 1.18}, WorkingPrecision -> 110]
RealDigits[r]  (* A199722 *)

Crossrefs

Cf. A199597.

Sequence in context: A213806 A019856 A124603 * A178149 A318669 A110636

Adjacent sequences: A199719 A199720 A199721 * A199723 A199724 A199725

Keyword

nonn,cons

Author

Clark Kimberling, Nov 09 2011

Status

approved