A199622 Decimal expansion of x>0 satisfying 2*x^2+x*cos(x)=2*sin(x).

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

Offset

0,1

Comments

See A199597 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=0..98.

Example

x=0.521770533630415907602226717523937882...

Mathematica

a = 2; b = 1; c = 2;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -3, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .52, .53}, WorkingPrecision -> 110]
RealDigits[r]  (* A199622 *)

Crossrefs

Cf. A199597.

Sequence in context: A276524 A111395 A188596 * A156730 A159549 A011394

Adjacent sequences: A199619 A199620 A199621 * A199623 A199624 A199625

Keyword

nonn,cons

Author

Clark Kimberling, Nov 08 2011

Status

approved