A198570 Decimal expansion of x>0 satisfying 3*x^2-3x=sin(x).

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

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=1.25273821977641509292218102848186994240192...

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, -.2, 1.5}]
r = x /. FindRoot[f[x] == g[x], {x, 1.25, 1.26}, WorkingPrecision -> 110]
RealDigits[r] (* A198570 *)

Crossrefs

Cf. A198414.

Sequence in context: A142583 A327838 A086956 * A190290 A246341 A246355

Adjacent sequences: A198567 A198568 A198569 * A198571 A198572 A198573

Keyword

nonn,cons

Author

Clark Kimberling, Oct 27 2011

Status

approved