A199791 Decimal expansion of x>0 satisfying 3*x^2-2*x*cos(x)=3*sin(x).

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

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=1.1065550924691809702446461149733024715999...

Mathematica

a = 3; b = -2; c = 3;
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, 1.1, 1.2}, WorkingPrecision -> 110]
RealDigits[r]     (* A199791 *)

Crossrefs

Cf. A199597.

Sequence in context: A011485 A084339 A050815 * A199600 A021608 A108088

Adjacent sequences: A199788 A199789 A199790 * A199792 A199793 A199794

Keyword

nonn,cons

Author

Clark Kimberling, Nov 10 2011

Status

approved