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A201320
Decimal expansion of x satisfying 2*x^2 - 1 = cot(x) and 0 < x < Pi.
2
9, 3, 3, 0, 2, 7, 6, 7, 4, 6, 6, 6, 1, 7, 7, 2, 5, 5, 9, 0, 6, 8, 7, 9, 1, 3, 5, 6, 1, 3, 0, 5, 1, 0, 6, 5, 4, 1, 1, 9, 0, 4, 1, 2, 7, 1, 1, 1, 3, 6, 0, 9, 4, 0, 9, 5, 0, 9, 0, 2, 0, 6, 6, 2, 6, 0, 2, 2, 1, 7, 4, 7, 3, 3, 3, 4, 1, 4, 5, 0, 0, 9, 1, 1, 2, 2, 1, 6, 8, 9, 6, 9, 7, 3, 6, 3, 0, 7, 2
OFFSET
0,1
COMMENTS
See A201280 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=0.93302767466617725590687913561305106...
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, .9, 1.0}, WorkingPrecision -> 110]
RealDigits[r] (* A201320 *)
CROSSREFS
Cf. A201280.
Sequence in context: A265162 A259837 A215189 * A212436 A193015 A021842
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 30 2011
STATUS
approved