A198617 Decimal expansion of x<0 satisfying 3*x^2+3x=2*sin(x).

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

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=-0.34660144807696106330542454823366804915763...

Mathematica

a = 3; b = 3; c = 2;
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, -.35, -.34}, WorkingPrecision -> 110]
RealDigits[r](* A198617 *)

Crossrefs

Cf. A198414.

Sequence in context: A337878 A053991 A276814 * A298808 A033957 A031131

Adjacent sequences: A198614 A198615 A198616 * A198618 A198619 A198620

Keyword

nonn,cons

Author

Clark Kimberling, Oct 28 2011

Status

approved