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A201332 Decimal expansion of x satisfying 5*x^2 = cot(x) and 0 < x < Pi. 2
5, 6, 2, 9, 5, 6, 0, 1, 9, 8, 9, 2, 5, 4, 3, 7, 3, 7, 6, 6, 9, 7, 5, 3, 8, 2, 7, 3, 9, 8, 4, 9, 2, 9, 5, 9, 2, 0, 2, 4, 2, 7, 5, 2, 4, 9, 8, 2, 1, 1, 9, 8, 5, 2, 3, 6, 5, 7, 4, 7, 8, 0, 5, 7, 1, 1, 3, 3, 6, 5, 9, 9, 4, 4, 0, 8, 0, 9, 8, 5, 9, 8, 9, 2, 8, 0, 5, 5, 9, 4, 5, 7, 8, 0, 3, 8, 7, 0, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
See A201280 for a guide to related sequences. The Mathematica program includes a graph.
LINKS
EXAMPLE
x=0.56295601989254373766975382739849295920...
MATHEMATICA
a = 5; c = 0;
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, .5, .6}, WorkingPrecision -> 110]
RealDigits[r] (* A201332 *)
CROSSREFS
Cf. A201280.
Sequence in context: A346046 A217015 A107825 * A049253 A072733 A018851
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 30 2011
STATUS
approved

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Last modified May 19 00:35 EDT 2024. Contains 372666 sequences. (Running on oeis4.)