A198583 Decimal expansion of x>0 satisfying 2*x^2=sin(x).

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

Offset

0,1

Comments

See A198414 for a guide to related sequences. The Mathematica program includes a graph.

Links

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

Example

x=0.480945957728129657766297856537656383385407...

Mathematica

a = 2; b = 0; c = 1;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.1, 1}]
r = x /. FindRoot[f[x] == g[x], {x, .48, .49}, WorkingPrecision -> 110]
RealDigits[r] (* A198583 *)

Crossrefs

Cf. A198414.

Sequence in context: A197284 A086468 A125507 * A244123 A280652 A104538

Adjacent sequences: A198580 A198581 A198582 * A198584 A198585 A198586

Keyword

nonn,cons

Author

Clark Kimberling, Oct 27 2011

Status

approved