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A201290
Decimal expansion of x satisfying 2*x^2 + 1 = cot(x) and 0 < x < Pi.
2
5, 5, 4, 4, 5, 6, 9, 9, 7, 7, 4, 7, 8, 3, 1, 8, 1, 8, 2, 8, 9, 5, 9, 8, 7, 4, 8, 3, 7, 7, 3, 3, 9, 8, 6, 1, 9, 5, 6, 5, 7, 4, 5, 4, 4, 2, 1, 4, 6, 9, 5, 0, 6, 9, 4, 8, 6, 8, 8, 2, 8, 4, 0, 5, 5, 5, 6, 2, 1, 0, 4, 3, 2, 5, 3, 6, 7, 7, 2, 8, 8, 5, 2, 2, 3, 6, 7, 1, 9, 7, 3, 9, 4, 8, 8, 6, 9, 2, 2
OFFSET
0,1
COMMENTS
See A201280 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=0.5544569977478318182895987483773398619...
MATHEMATICA
a = 2; c = 1;
f[x_] := a*x^2 + c; g[x_] := Cot[x]
Plot[{f[x], g[x]}, {x, 0, Pi/2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .55, .56}, WorkingPrecision -> 110]
RealDigits[r] (* A201290 *)
CROSSREFS
Cf. A201280.
Sequence in context: A019927 A332506 A019805 * A374149 A257872 A180138
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 29 2011
STATUS
approved