A199870 Decimal expansion of x>0 satisfying 4*x^2-3*x*cos(x)=2*sin(x).

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

Offset

0,1

Comments

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

Links

Table of n, a(n) for n=0..98.

Example

x=0.9008048369541508260159637385207023245345034281...

Mathematica

a = 4; b = -3; c = 2;
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, .90, .91}, WorkingPrecision -> 110]
RealDigits[r]    (* A199870 *)

Crossrefs

Cf. A199597.

Sequence in context: A257435 A366193 A296458 * A132267 A021115 A073052

Adjacent sequences: A199867 A199868 A199869 * A199871 A199872 A199873

Keyword

nonn,cons

Author

Clark Kimberling, Nov 11 2011

Status

approved