A198559 Decimal expansion of x>0 having 2*x^2-2x=3*sin(x).

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

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=1.80703408173941088613783342096859806486702997...

Mathematica

a = 2; b = -2; c = 3;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.2, 2}]
r = x /. FindRoot[f[x] == g[x], {x, 1.8, 1.81}, WorkingPrecision -> 110]
RealDigits[r] (* A198559 *)

Crossrefs

Cf. A198414.

Sequence in context: A222883 A091474 A059679 * A292887 A154461 A261613

Adjacent sequences: A198556 A198557 A198558 * A198560 A198561 A198562

Keyword

nonn,cons

Author

Clark Kimberling, Oct 26 2011

Status

approved