A199433 Decimal expansion of x>0 satisfying x^2+2*x*sin(x)=2*cos(x).

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

Offset

0,1

Comments

See A199370 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=0..98.

Example

x=0.7268924078543361944600244295359554167196621...

Mathematica

a = 1; b = 2; c = 2;
f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .72, .73}, WorkingPrecision -> 110]
RealDigits[r]  (* A199433 *)

Crossrefs

Cf. A199429.

Sequence in context: A199075 A228045 A011361 * A095398 A073330 A208852

Adjacent sequences: A199430 A199431 A199432 * A199434 A199435 A199436

Keyword

nonn,cons

Author

Clark Kimberling, Nov 06 2011

Status

approved