A199624 Decimal expansion of x>0 satisfying 2*x^2+x*cos(x)=4*sin(x).

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

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=1.33887388985548526406255415475435291...

Mathematica

a = 2; b = 1; c = 4;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.3, 1.4}, WorkingPrecision -> 110]
RealDigits[r]  (* A199624 *)

Crossrefs

Cf. A199597.

Sequence in context: A302675 A305841 A331530 * A363220 A093366 A204136

Adjacent sequences: A199621 A199622 A199623 * A199625 A199626 A199627

Keyword

nonn,cons

Author

Clark Kimberling, Nov 08 2011

Status

approved