A199795 Decimal expansion of x>0 satisfying 3*x^2-x*cos(x)=3*sin(x).

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

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=1.013614245650400945368858789724476712114490...

Mathematica

a = 3; b = -1; 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]   (* A199795 *)

Crossrefs

Cf. A199597.

Sequence in context: A104612 A088392 A195699 * A200358 A181099 A163327

Adjacent sequences: A199792 A199793 A199794 * A199796 A199797 A199798

Keyword

nonn,cons

Author

Clark Kimberling, Nov 10 2011

Status

approved