A199509 Decimal expansion of x>0 satisfying 3*x^2-2*x*sin(x)=2*cos(x).

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

Offset

0,1

Comments

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

Links

Table of n, a(n) for n=0..99.

Example

x=0.95029497686994665856209249419440178367487...

Mathematica

a = 3; 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, .95, .96}, WorkingPrecision -> 110]
RealDigits[r]  (* A199509 *)

Crossrefs

Cf. A199429.

Sequence in context: A195360 A177973 A145436 * A266558 A199869 A378825

Adjacent sequences: A199506 A199507 A199508 * A199510 A199511 A199512

Keyword

nonn,cons

Author

Clark Kimberling, Nov 07 2011

Status

approved