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A201288
Decimal expansion of x satisfying x^2 + 9 = cot(x) and 0 < x < Pi.
2
1, 1, 0, 5, 0, 8, 4, 9, 2, 1, 4, 8, 6, 8, 2, 8, 6, 6, 5, 3, 0, 2, 1, 3, 2, 6, 3, 2, 6, 3, 3, 3, 0, 8, 6, 4, 1, 8, 6, 8, 4, 6, 1, 4, 4, 2, 8, 6, 2, 5, 4, 8, 4, 3, 0, 1, 4, 8, 7, 5, 2, 1, 0, 3, 3, 0, 2, 5, 9, 0, 1, 3, 2, 2, 6, 9, 2, 6, 9, 8, 9, 2, 5, 6, 9, 5, 3, 7, 1, 0, 8, 3, 0, 9, 2, 3, 4, 7, 1
OFFSET
0,4
COMMENTS
See A201280 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
0.1105084921486828665302132632633308...
MATHEMATICA
a = 1; c = 9;
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, .2}, WorkingPrecision -> 110]
RealDigits[r] (* A201288 *)
CROSSREFS
Cf. A201280.
Sequence in context: A143821 A099219 A343248 * A011441 A372391 A294518
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 29 2011
EXTENSIONS
a(96) onwards corrected by Georg Fischer, Aug 03 2021
STATUS
approved