login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A198571
Decimal expansion of x>0 satisfying 3*x^2-3x=2*sin(x).
2
1, 4, 5, 5, 0, 9, 6, 5, 9, 1, 5, 6, 2, 8, 6, 6, 1, 5, 2, 4, 5, 9, 5, 4, 0, 8, 8, 7, 6, 0, 4, 6, 0, 6, 3, 5, 6, 6, 8, 1, 0, 9, 2, 2, 3, 1, 1, 2, 5, 7, 5, 3, 9, 2, 0, 4, 2, 1, 6, 0, 6, 5, 6, 9, 1, 3, 1, 4, 2, 8, 0, 5, 1, 4, 7, 3, 6, 1, 5, 0, 9, 9, 5, 9, 6, 8, 2, 2, 5, 5, 7, 5, 3, 8, 4, 9, 1, 4, 5
OFFSET
1,2
COMMENTS
See A198414 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=1.455096591562866152459540887604606356681...
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, -.2, 1.5}]
r = x /. FindRoot[f[x] == g[x], {x, 1.45, 1.46}, WorkingPrecision -> 110]
RealDigits[r] (* A198571 *)
CROSSREFS
Cf. A198414.
Sequence in context: A196756 A103561 A309949 * A119822 A120651 A093054
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 27 2011
STATUS
approved