A198416 Decimal expansion of x>0 having x^2=4*sin(x).

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

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=1.9337537628270212533084756690906800565370...

Mathematica

a = 1; b = 0; c = 4;
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, 1.93, 1.94}, WorkingPrecision -> 110]
RealDigits[r] (* A198416 *)

Crossrefs

Cf. A198414.

Sequence in context: A019878 A272408 A177910 * A097902 A139425 A356637

Adjacent sequences: A198413 A198414 A198415 * A198417 A198418 A198419

Keyword

nonn,cons

Author

Clark Kimberling, Oct 24 2011

Status

approved