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A201296
Decimal expansion of x satisfying x^2 - 2 = cot(x) and 0 < x < Pi.
2
1, 4, 5, 4, 8, 1, 9, 4, 6, 1, 5, 3, 6, 3, 9, 7, 1, 7, 3, 3, 8, 4, 1, 7, 3, 8, 2, 9, 8, 0, 8, 0, 9, 3, 3, 8, 9, 0, 2, 5, 7, 9, 4, 4, 1, 1, 0, 9, 7, 8, 4, 1, 0, 5, 1, 2, 5, 0, 3, 8, 2, 4, 6, 9, 2, 5, 5, 8, 7, 6, 2, 5, 0, 9, 2, 2, 9, 7, 1, 6, 3, 9, 8, 7, 8, 4, 8, 4, 7, 5, 4, 3, 1, 8, 6, 3, 5, 9, 6, 8, 6, 7
OFFSET
1,2
COMMENTS
See A201280 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
1.4548194615363971733841738298080933890...
MATHEMATICA
a = 1; c = -2;
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, 1.4, 1.5}, WorkingPrecision -> 110]
RealDigits[r] (* A201296 *)
CROSSREFS
Cf. A201280.
Sequence in context: A248671 A343442 A232635 * A350089 A246954 A045834
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 29 2011
EXTENSIONS
a(92) onwards corrected by Georg Fischer, Aug 03 2021
STATUS
approved