A198554 Decimal expansion of x>0 having 4*x^2-x=sin(x).

4, 9, 0, 1, 1, 0, 8, 3, 0, 7, 3, 4, 8, 6, 7, 4, 3, 7, 3, 5, 5, 1, 4, 0, 7, 3, 7, 4, 1, 1, 1, 6, 7, 2, 0, 1, 4, 3, 4, 8, 1, 0, 1, 9, 5, 1, 7, 8, 7, 8, 7, 7, 4, 6, 4, 1, 5, 1, 7, 4, 1, 1, 2, 9, 7, 3, 7, 4, 0, 5, 7, 6, 8, 3, 7, 3, 0, 3, 7, 5, 8, 9, 9, 4, 5, 6, 8, 7, 1, 1, 0, 2, 7, 2, 0, 1, 0, 4, 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=0.490110830734867437355140737411167201434810...

Mathematica

a = 4; b = -1; 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, .49, .5}, WorkingPrecision -> 110]
RealDigits[r]  (* A198554 *)

Crossrefs

Cf. A198414.

Sequence in context: A069883 A069647 A011348 * A200413 A370293 A021208

Adjacent sequences: A198551 A198552 A198553 * A198555 A198556 A198557

Keyword

nonn,cons

Author

Clark Kimberling, Oct 26 2011

Status

approved