A199869 Decimal expansion of x>0 satisfying 4*x^2-3*x*cos(x)=3*sin(x).

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

Offset

1,4

Comments

See A199597 for a guide to related sequences. The Mathematica program includes a graph.

Links

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

Example

x=1.019504639315176352882845378655271467301921719333...

Mathematica

a = 4; b = -3; c = 3;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.01, 1.02}, WorkingPrecision -> 110]
RealDigits[r]    (* A199869 *)

Crossrefs

Cf. A199597.

Sequence in context: A145436 A199509 A266558 * A378825 A197378 A232738

Adjacent sequences: A199866 A199867 A199868 * A199870 A199871 A199872

Keyword

nonn,cons

Author

Clark Kimberling, Nov 11 2011

Status

approved