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A198997 Decimal expansion of x>0 satisfying 4*x^2-3*cos(x)=2. 2
9, 6, 3, 3, 6, 4, 2, 1, 3, 4, 8, 2, 5, 1, 6, 6, 6, 6, 6, 0, 5, 9, 9, 9, 3, 3, 4, 7, 8, 9, 9, 4, 3, 7, 5, 2, 3, 6, 1, 3, 3, 0, 0, 4, 9, 8, 4, 2, 6, 8, 7, 7, 5, 1, 8, 9, 7, 3, 9, 8, 7, 0, 1, 5, 2, 3, 9, 2, 3, 5, 1, 5, 6, 0, 0, 5, 8, 6, 0, 6, 0, 8, 2, 7, 6, 6, 5, 8, 5, 7, 3, 7, 9, 4, 6, 4, 6, 2, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
See A198755 for a guide to related sequences. The Mathematica program includes a graph.
LINKS
EXAMPLE
x=0.9633642134825166666059993347899437523613300...
MATHEMATICA
a = 4; b = -3; c = 2;
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, .96, .97}, WorkingPrecision -> 110]
RealDigits[r] (* A198997 *)
CROSSREFS
Cf. A198755.
Sequence in context: A068925 A175616 A200232 * A271172 A019683 A020759
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 01 2011
STATUS
approved

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Last modified July 18 18:59 EDT 2024. Contains 374388 sequences. (Running on oeis4.)