A198423 Decimal expansion of x>0 having x^2-x=4*sin(x).

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

Offset

1,1

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=2.2988535822774032952060591961534333...

Mathematica

a = 1; b = -1; c = 4;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 2.5}]
r = x /. FindRoot[f[x] == g[x], {x, 2.29, 2.3}, WorkingPrecision -> 110]
RealDigits[r] (* A198423 *)

Crossrefs

Cf. A198414.

Sequence in context: A220265 A243597 A021439 * A229116 A346918 A203904

Adjacent sequences: A198420 A198421 A198422 * A198424 A198425 A198426

Keyword

nonn,cons

Author

Clark Kimberling, Oct 25 2011

Status

approved