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”).

A199776
Decimal expansion of x>0 satisfying 2*x^2-2*x*cos(x)=sin(x).
2
9, 8, 0, 3, 7, 6, 8, 4, 1, 9, 0, 9, 5, 6, 1, 4, 5, 1, 7, 1, 1, 7, 1, 7, 8, 8, 0, 2, 6, 9, 3, 9, 6, 3, 0, 3, 3, 7, 7, 0, 0, 5, 9, 2, 1, 1, 8, 0, 7, 6, 9, 9, 5, 2, 0, 9, 7, 3, 5, 8, 9, 2, 5, 6, 1, 0, 5, 5, 1, 5, 0, 3, 4, 9, 7, 4, 0, 4, 8, 2, 7, 3, 3, 7, 9, 2, 9, 0, 8, 2, 4, 6, 8, 5, 7, 6, 0, 3, 6
OFFSET
0,1
COMMENTS
See A199597 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=0.98037684190956145171171788026939630337700...
MATHEMATICA
a = 2; b = -2; c = 1;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .98, .99}, WorkingPrecision -> 110]
RealDigits[r] (* A199776 *)
CROSSREFS
Cf. A199597.
Sequence in context: A343055 A021509 A154898 * A344426 A021106 A072915
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 10 2011
STATUS
approved