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A201281
Decimal expansion of x satisfying x^2 + 2 = cot(x) and 0 < x < Pi.
2
4, 2, 9, 3, 2, 7, 9, 4, 1, 7, 9, 4, 5, 8, 6, 4, 3, 6, 7, 9, 2, 8, 3, 2, 6, 2, 2, 9, 1, 3, 0, 2, 8, 5, 3, 1, 4, 3, 2, 5, 1, 6, 6, 6, 0, 2, 1, 0, 8, 2, 5, 6, 4, 6, 5, 8, 6, 7, 1, 6, 5, 5, 2, 6, 5, 5, 8, 6, 7, 2, 9, 9, 7, 1, 5, 1, 2, 3, 2, 6, 8, 8, 8, 8, 2, 5, 3, 6, 5, 6, 0, 9, 9, 0, 8, 3, 5, 2, 1
OFFSET
0,1
COMMENTS
See A201280 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=0.42932794179458643679283262291302853143...
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, .42, .43}, WorkingPrecision -> 110]
RealDigits[r] (* A201281 *)
CROSSREFS
Cf. A201280.
Sequence in context: A180434 A201574 A077809 * A095303 A060734 A375719
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 29 2011
STATUS
approved