A199434 Decimal expansion of x>0 satisfying x^2+2*x*sin(x)=3*cos(x).

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

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.

Index entries for transcendental numbers.

Example

0.8469975300452455894008106375702286795251786774...

Mathematica

a = 1; b = 2; c = 3;
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, .84, .85}, WorkingPrecision -> 110]
RealDigits[r]  (* A199434 *)

Crossrefs

Cf. A199429.

Sequence in context: A255987 A372858 A266556 * A253073 A090325 A090469

Adjacent sequences: A199431 A199432 A199433 * A199435 A199436 A199437

Keyword

nonn,cons,changed

Author

Clark Kimberling, Nov 06 2011

Status

approved