A198616 Decimal expansion of x<0 satisfying 3*x^2+3x=sin(x).

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

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=-0.69269112335824741689986281126046184085...

Mathematica

a = 3; b = 3; c = 1;
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, -.7, -.69}, WorkingPrecision -> 110]
RealDigits[r](* A198616 *)

Crossrefs

Cf. A198414.

Sequence in context: A349522 A254135 A198676 * A215668 A344230 A010502

Adjacent sequences: A198613 A198614 A198615 * A198617 A198618 A198619

Keyword

nonn,cons

Author

Clark Kimberling, Oct 28 2011

Status

approved