A199470 Decimal expansion of x>0 satisfying x^2-3*x*sin(x)=3*cos(x).

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

Offset

1,1

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=2.031257640333073135837764766211201518805142...

Mathematica

a = 1; b = -3; 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, 2.03, 2.04}, WorkingPrecision -> 110]
RealDigits[r]  (* A199470 *)

Crossrefs

Cf. A199429.

Sequence in context: A071504 A125943 A167565 * A098006 A336916 A082650

Adjacent sequences: A199467 A199468 A199469 * A199471 A199472 A199473

Keyword

nonn,cons

Author

Clark Kimberling, Nov 07 2011

Status

approved