A198555 Decimal expansion of x>0 having 4*x^2-x=2*sin(x).

7, 0, 9, 1, 3, 5, 0, 9, 3, 6, 6, 7, 6, 4, 5, 1, 3, 1, 2, 9, 5, 7, 2, 8, 3, 5, 8, 3, 3, 3, 5, 1, 4, 5, 4, 8, 6, 1, 4, 1, 2, 7, 2, 4, 2, 7, 4, 7, 2, 9, 7, 0, 9, 8, 5, 1, 7, 3, 2, 7, 6, 1, 5, 4, 1, 6, 6, 1, 7, 2, 8, 1, 2, 4, 3, 7, 6, 4, 6, 3, 9, 5, 0, 3, 0, 0, 4, 9, 1, 5, 7, 0, 7, 2, 9, 4, 0, 8, 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=0.70913509366764513129572835833351454861412...

Mathematica

a = 4; 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, .70, .71}, WorkingPrecision -> 110]
RealDigits[r] (* A198555 *)

Crossrefs

Cf. A198414.

Sequence in context: A296482 A272429 A308157 * A234355 A021145 A269404

Adjacent sequences: A198552 A198553 A198554 * A198556 A198557 A198558

Keyword

nonn,cons

Author

Clark Kimberling, Oct 26 2011

Status

approved