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A199003 Decimal expansion of x>0 satisfying 4*x^2-4*cos(x)=3. 2
1, 0, 9, 7, 9, 2, 6, 6, 5, 0, 3, 7, 1, 5, 9, 9, 4, 3, 3, 1, 4, 4, 0, 9, 4, 9, 0, 9, 6, 7, 1, 0, 9, 6, 7, 0, 6, 9, 2, 0, 4, 4, 3, 7, 2, 4, 4, 0, 9, 0, 8, 1, 0, 1, 7, 7, 9, 1, 4, 0, 8, 7, 2, 1, 9, 3, 0, 5, 6, 0, 4, 1, 7, 7, 1, 5, 3, 4, 2, 7, 2, 3, 3, 7, 2, 1, 9, 3, 9, 7, 7, 5, 4, 4, 7, 4, 2, 1, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
See A198755 for a guide to related sequences. The Mathematica program includes a graph.
LINKS
EXAMPLE
x=1.0979266503715994331440949096710967069204437...
MATHEMATICA
a = 4; 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, 1, 1.1}, WorkingPrecision -> 110]
RealDigits[r] (* A199003 *)
CROSSREFS
Cf. A198755.
Sequence in context: A249601 A298524 A212005 * A199048 A094132 A243263
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 01 2011
STATUS
approved

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Last modified April 18 13:48 EDT 2024. Contains 371780 sequences. (Running on oeis4.)