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A198929 Decimal expansion of x>0 satisfying 3*x^2-2*cos(x)=2. 2
1, 0, 1, 0, 4, 4, 1, 1, 7, 9, 2, 2, 4, 6, 6, 5, 0, 3, 7, 2, 5, 6, 9, 3, 1, 5, 7, 6, 9, 6, 7, 0, 3, 0, 6, 6, 3, 1, 3, 4, 4, 6, 5, 0, 7, 4, 7, 5, 7, 1, 8, 0, 0, 1, 2, 8, 9, 5, 5, 5, 2, 7, 2, 7, 0, 8, 4, 4, 5, 2, 8, 6, 9, 1, 1, 6, 7, 3, 4, 5, 3, 0, 5, 2, 5, 4, 6, 1, 0, 4, 1, 1, 5, 2, 9, 5, 5, 0, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,5
COMMENTS
See A198755 for a guide to related sequences. The Mathematica program includes a graph.
LINKS
EXAMPLE
x=1.0104411792246650372569315769670306631344650...
MATHEMATICA
a = 3; b = -2; 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, 1, 1.1}, WorkingPrecision -> 110]
RealDigits[r] (* A198929 *)
CROSSREFS
Cf. A198755.
Sequence in context: A166361 A213669 A046539 * A172347 A108428 A174126
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 31 2011
STATUS
approved

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Last modified May 25 05:18 EDT 2024. Contains 372782 sequences. (Running on oeis4.)