A198493 Decimal expansion of x>0 having 2x^2+x=2*sin(x).

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

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=0.4644356572394667606161468661143538706315...

Mathematica

a = 2; b = 1; c = 2;
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, .46, .47}, WorkingPrecision -> 110]
RealDigits[r] (* A198493 *)

Crossrefs

Cf. A198414.

Sequence in context: A187147 A128633 A001482 * A161965 A256419 A256424

Adjacent sequences: A198490 A198491 A198492 * A198494 A198495 A198496

Keyword

nonn,cons

Author

Clark Kimberling, Oct 25 2011

Status

approved