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A198883
Decimal expansion of x>0 satisfying 2*x^2-4*cos(x)=-3.
2
5, 0, 2, 6, 3, 0, 1, 8, 3, 5, 2, 3, 6, 8, 1, 8, 9, 7, 0, 4, 3, 8, 6, 9, 2, 1, 6, 0, 0, 9, 3, 5, 3, 8, 7, 5, 3, 1, 7, 9, 7, 6, 9, 8, 2, 3, 1, 6, 6, 8, 7, 8, 2, 3, 5, 4, 5, 9, 9, 1, 4, 4, 5, 8, 7, 2, 1, 4, 4, 5, 8, 9, 3, 0, 4, 1, 4, 0, 4, 8, 8, 4, 9, 3, 2, 8, 5, 4, 0, 0, 6, 8, 5, 9, 1, 2, 0, 2, 1
OFFSET
0,1
COMMENTS
See A198755 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=0.5026301835236818970438692160093538753179...
MATHEMATICA
a = 2; b = -4; c = -3;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .5, .51}, WorkingPrecision -> 110]
RealDigits[r] (* A198883 *)
CROSSREFS
Cf. A198755.
Sequence in context: A276712 A199387 A195720 * A261850 A077496 A346120
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 31 2011
STATUS
approved