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A198823
Decimal expansion of x>0 satisfying x^2-2*cos(x)=3.
2
1, 6, 7, 2, 4, 4, 1, 3, 0, 4, 8, 7, 3, 5, 2, 9, 5, 1, 3, 4, 3, 2, 9, 6, 0, 4, 5, 2, 0, 8, 9, 4, 0, 1, 9, 9, 7, 3, 8, 0, 1, 2, 6, 6, 8, 0, 9, 7, 1, 9, 8, 0, 0, 3, 5, 5, 4, 9, 6, 6, 6, 6, 6, 8, 4, 4, 7, 5, 4, 7, 0, 2, 4, 8, 4, 3, 7, 1, 3, 1, 3, 4, 3, 3, 9, 0, 1, 4, 0, 8, 7, 2, 2, 7, 5, 5, 4, 2, 2
OFFSET
1,2
COMMENTS
See A198755 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=1.672441304873529513432960452089401997380126680...
MATHEMATICA
a = 1; b = -2; c = 3;
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, 1.6, 1.7}, WorkingPrecision -> 110]
RealDigits[r] (* A198823 *)
CROSSREFS
Cf. A198755.
Sequence in context: A171654 A197916 A216103 * A353053 A219733 A070059
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 30 2011
STATUS
approved