A199438 Decimal expansion of x>0 satisfying 2*x^2+x*sin(x)=cos(x).

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

Offset

0,1

Comments

See A199370 for a guide to related sequences. The Mathematica program includes a graph.

Links

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

Example

x=0.539143607031404106487946070995523721270...

Mathematica

a = 2; b = 1; c = 1;
f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .53, .54}, WorkingPrecision -> 110]
RealDigits[r]  (* A199438 *)

Crossrefs

Cf. A199429.

Sequence in context: A337440 A092748 A078302 * A220129 A192039 A305327

Adjacent sequences: A199435 A199436 A199437 * A199439 A199440 A199441

Keyword

nonn,cons

Author

Clark Kimberling, Nov 06 2011

Status

approved