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A201295
Decimal expansion of x satisfying x^2 - 1 = cot(x) and 0 < x < Pi.
2
1, 1, 8, 5, 5, 4, 4, 3, 5, 0, 2, 2, 1, 5, 3, 2, 9, 2, 7, 7, 8, 4, 0, 7, 8, 9, 8, 6, 0, 7, 4, 1, 7, 8, 0, 2, 7, 5, 9, 9, 2, 7, 7, 3, 8, 0, 7, 4, 2, 2, 9, 5, 3, 7, 3, 9, 0, 4, 8, 7, 4, 4, 5, 6, 6, 4, 5, 8, 8, 6, 1, 1, 3, 4, 2, 9, 1, 0, 1, 8, 3, 0, 5, 5, 6, 1, 6, 4, 6, 1, 3, 2, 3, 7, 5, 6, 2, 7, 0
OFFSET
1,3
COMMENTS
See A201280 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=1.185544350221532927784078986074178027599...
MATHEMATICA
a = 1; 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, 1.1, 1.2}, WorkingPrecision -> 110]
RealDigits[r] (* A201295 *)
CROSSREFS
Cf. A201280.
Sequence in context: A157414 A021543 A257436 * A011107 A356805 A318335
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 29 2011
STATUS
approved