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A201289
Decimal expansion of x satisfying x^2 + 10 = cot(x) and 0 < x < Pi.
2
9, 9, 5, 7, 0, 5, 8, 7, 3, 4, 8, 9, 9, 3, 4, 7, 8, 9, 4, 3, 3, 0, 6, 5, 8, 4, 3, 4, 4, 9, 3, 3, 8, 8, 1, 3, 6, 2, 4, 3, 3, 7, 6, 6, 3, 4, 3, 9, 3, 8, 8, 9, 4, 3, 0, 4, 4, 6, 9, 5, 2, 4, 0, 8, 3, 1, 8, 2, 4, 7, 3, 3, 6, 4, 6, 2, 2, 2, 2, 7, 4, 3, 9, 1, 4, 1, 3, 6, 9, 2, 1, 1, 2, 8, 0, 8, 1, 8, 3
OFFSET
-1,1
COMMENTS
See A201280 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
0.09957058734899347894330658434493388...
MATHEMATICA
a = 1; c = 10;
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, .09, 1.0}, WorkingPrecision -> 110]
RealDigits[r] (* A201289 *)
CROSSREFS
Cf. A201280.
Sequence in context: A347152 A131744 A076416 * A091133 A334452 A195480
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 29 2011
EXTENSIONS
Offset corrected by Georg Fischer, Aug 01 2021
STATUS
approved