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A198999 Decimal expansion of x>0 satisfying 4*x^2-3*cos(x)=4. 2
1, 1, 4, 4, 5, 8, 2, 7, 1, 5, 8, 1, 0, 2, 6, 2, 2, 5, 8, 7, 5, 2, 4, 8, 4, 7, 8, 6, 5, 5, 3, 2, 6, 9, 1, 6, 3, 1, 7, 5, 0, 6, 3, 0, 6, 4, 9, 6, 1, 6, 0, 6, 2, 2, 9, 9, 0, 1, 9, 0, 9, 7, 6, 1, 1, 7, 9, 6, 5, 6, 1, 5, 7, 5, 0, 6, 9, 0, 2, 6, 3, 5, 6, 9, 8, 9, 4, 2, 2, 2, 8, 7, 0, 5, 2, 7, 2, 5, 4 (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=1.14458271581026225875248478655326916317506306496160...
MATHEMATICA
a = 4; b = -3; c = 4;
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, 1.4, 1.5}, WorkingPrecision -> 110]
RealDigits[r] (* A198999 *)
CROSSREFS
Cf. A198755.
Sequence in context: A170934 A079999 A058619 * A095945 A072231 A281375
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 01 2011
STATUS
approved

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Last modified June 21 20:47 EDT 2024. Contains 373559 sequences. (Running on oeis4.)