A198614 Decimal expansion of x>0 satisfying 3*x^2+2x=3*sin(x).

3, 1, 6, 7, 0, 0, 4, 3, 8, 1, 8, 0, 9, 2, 6, 2, 5, 6, 0, 4, 3, 8, 5, 2, 4, 0, 0, 0, 8, 7, 9, 7, 6, 8, 1, 6, 7, 8, 5, 1, 3, 8, 6, 8, 4, 6, 9, 6, 8, 8, 9, 6, 0, 7, 0, 9, 5, 9, 9, 4, 4, 2, 8, 5, 6, 7, 1, 2, 6, 9, 7, 6, 8, 6, 3, 0, 5, 3, 9, 1, 7, 2, 2, 4, 1, 2, 3, 8, 7, 9, 7, 4, 6, 9, 8, 6, 7, 9, 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=0.3167004381809262560438524000879768167851...

Mathematica

a = 3; b = 2; c = 3;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.1, .4}]
r = x /. FindRoot[f[x] == g[x], {x, .31, .32}, WorkingPrecision -> 110]
RealDigits[r](* A198614 *)

Crossrefs

Cf. A198414.

Sequence in context: A242729 A112692 A291217 * A239385 A124929 A208766

Adjacent sequences: A198611 A198612 A198613 * A198615 A198616 A198617

Keyword

nonn,cons

Author

Clark Kimberling, Oct 28 2011

Status

approved