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A198825
Decimal expansion of x>0 satisfying x^2-2*cos(x)=-1.
2
7, 1, 4, 6, 2, 1, 0, 5, 7, 7, 7, 9, 2, 8, 3, 5, 7, 1, 3, 0, 7, 6, 0, 2, 6, 8, 1, 4, 9, 2, 2, 6, 1, 1, 5, 1, 3, 1, 7, 1, 8, 9, 3, 0, 0, 0, 0, 5, 5, 8, 0, 5, 6, 5, 3, 8, 1, 1, 2, 8, 4, 2, 0, 0, 8, 7, 1, 9, 2, 0, 8, 9, 2, 5, 7, 3, 5, 9, 3, 6, 7, 9, 3, 6, 9, 5, 7, 0, 7, 1, 1, 9, 2, 8, 0, 7, 1, 7, 1
OFFSET
0,1
COMMENTS
See A198755 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=0.71462105777928357130760268149226115131718930000...
MATHEMATICA
a = 1; b = -2; c = -1;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .7, .72}, WorkingPrecision -> 110]
RealDigits[r] (* A198825 *)
CROSSREFS
Cf. A198755.
Sequence in context: A010145 A199388 A201750 * A073008 A105199 A020791
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 30 2011
STATUS
approved