A198615 Decimal expansion of x>0 satisfying 3*x^2+2x=4*sin(x).

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

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=0.590515737939558964628871737819338303048...

Mathematica

a = 3; b = 2; c = 4;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.1, 1}]
r = x /. FindRoot[f[x] == g[x], {x, .59, .6}, WorkingPrecision -> 110]
RealDigits[r](* A198615 *)

Crossrefs

Cf. A198414.

Sequence in context: A019636 A269979 A102521 * A195372 A193017 A277651

Adjacent sequences: A198612 A198613 A198614 * A198616 A198617 A198618

Keyword

nonn,cons

Author

Clark Kimberling, Oct 28 2011

Status

approved