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A198932 Decimal expansion of x>0 satisfying 3*x^2-3*cos(x)=-1. 2
6, 7, 0, 8, 0, 9, 5, 0, 1, 1, 9, 2, 0, 7, 4, 3, 9, 7, 2, 6, 1, 1, 5, 6, 3, 7, 8, 3, 9, 2, 4, 7, 4, 2, 2, 6, 0, 1, 5, 6, 7, 0, 7, 0, 9, 9, 2, 3, 1, 1, 4, 7, 2, 2, 8, 9, 5, 4, 0, 4, 7, 7, 1, 7, 3, 0, 2, 1, 0, 1, 9, 9, 4, 4, 4, 0, 3, 2, 3, 8, 9, 5, 7, 8, 1, 1, 3, 7, 6, 7, 8, 7, 6, 8, 5, 9, 5, 0, 9 (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=0.670809501192074397261156378392474226015...
MATHEMATICA
a = 3; b = -3; c = -1;
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, .6, .7}, WorkingPrecision -> 110]
RealDigits[r] (* A198932 *)
CROSSREFS
Cf. A198755.
Sequence in context: A344428 A224238 A227718 * A010499 A218012 A195714
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 31 2011
STATUS
approved

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Last modified April 24 00:30 EDT 2024. Contains 371917 sequences. (Running on oeis4.)