A198580 Decimal expansion of x>0 satisfying 3*x^2-4x=2*sin(x).

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

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=1.71736324515089542946372299545142430021233350...

Mathematica

a = 3; b = -4; c = 2;
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, 1.7, 1.8}, WorkingPrecision -> 110]
RealDigits[r] (* A198580 *)

Crossrefs

Cf. A198414.

Sequence in context: A363150 A317846 A198219 * A160798 A033953 A295872

Adjacent sequences: A198577 A198578 A198579 * A198581 A198582 A198583

Keyword

nonn,cons

Author

Clark Kimberling, Oct 27 2011

Status

approved