A199727 Decimal expansion of x>0 satisfying x^2-3*x*cos(x)=4*sin(x).

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

Offset

1,2

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=1.7436889564913023161629215530136008534044...

Mathematica

a = 1; b = -3; c = 4;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -2 Pi, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.74, 1.75}, WorkingPrecision -> 110]
RealDigits[r]    (* A199727 *)

Crossrefs

Cf. A199597.

Sequence in context: A306555 A293237 A316250 * A255168 A257776 A364488

Adjacent sequences: A199724 A199725 A199726 * A199728 A199729 A199730

Keyword

nonn,cons

Author

Clark Kimberling, Nov 09 2011

Status

approved