A198548 Decimal expansion of x>0 having 2*x^2-x=3*sin(x).

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

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..99.

Example

x=1.4984285701410262891056521012440198385183...

Mathematica

a = 2; b = -1; c = 3;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.1, 2}]
r = x /. FindRoot[f[x] == g[x], {x, 1.49, 1.5}, WorkingPrecision -> 110]
RealDigits[r]  (* A198548 *)

Crossrefs

Cf. A198414.

Sequence in context: A215617 A328229 A366174 * A134902 A110992 A199203

Adjacent sequences: A198545 A198546 A198547 * A198549 A198550 A198551

Keyword

nonn,cons

Author

Clark Kimberling, Oct 26 2011

Status

approved