A199785 Decimal expansion of x>0 satisfying 3*x^2-4*x*cos(x)=2*sin(x).

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

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=1.11862899963487214065496166324718104781709467840...

Mathematica

a = 3; b = -4; c = 2;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.11, 1.12}, WorkingPrecision -> 110]
RealDigits[r]    (* A199785 *)

Crossrefs

Cf. A199597.

Sequence in context: A360166 A197732 A224237 * A195497 A316588 A323810

Adjacent sequences: A199782 A199783 A199784 * A199786 A199787 A199788

Keyword

nonn,cons

Author

Clark Kimberling, Nov 10 2011

Status

approved