A199726 Decimal expansion of x>0 satisfying x^2-2*x*cos(x)=sin(x).

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

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=1.29276238477349584606788843541577942175797443...

Mathematica

a = 1; b = -2; c = 1;
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, 1.29, 1.30}, WorkingPrecision -> 110]
RealDigits[r]  (* A199726 *)

Crossrefs

Cf. A199597.

Sequence in context: A074957 A196401 A377697 * A171546 A268682 A010699

Adjacent sequences: A199723 A199724 A199725 * A199727 A199728 A199729

Keyword

nonn,cons

Author

Clark Kimberling, Nov 09 2011

Status

approved