A199461 Decimal expansion of x>0 satisfying x^2-2*x*sin(x)=cos(x).

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

Offset

1,2

Comments

See A199429 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=1..99.

Example

x=1.811110814248319762796549709756729617691031258...

Mathematica

a = 1; b = -2; c = 1;
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, 1.81, 1.82}, WorkingPrecision -> 110]
RealDigits[r]  (* A199461 *)

Crossrefs

Cf. A199429.

Sequence in context: A095886 A325222 A076346 * A366126 A056191 A368167

Adjacent sequences: A199458 A199459 A199460 * A199462 A199463 A199464

Keyword

nonn,cons

Author

Clark Kimberling, Nov 07 2011

Status

approved