[go: up one dir, main page]

login
A201284
Decimal expansion of x satisfying x^2 + 5 = cot(x) and 0 < x < Pi.
2
1, 9, 5, 9, 2, 9, 8, 9, 9, 2, 6, 5, 4, 6, 2, 6, 3, 2, 1, 8, 1, 1, 5, 5, 3, 5, 3, 8, 3, 4, 7, 7, 4, 0, 8, 3, 6, 0, 2, 9, 6, 9, 6, 9, 5, 4, 0, 1, 3, 5, 8, 3, 3, 8, 6, 6, 5, 2, 7, 3, 8, 6, 1, 2, 6, 7, 2, 9, 6, 6, 1, 9, 1, 1, 9, 7, 4, 9, 7, 1, 4, 2, 2, 7, 4, 2, 0, 3, 9, 8, 9, 4, 6, 8, 0, 0, 5, 3, 1
OFFSET
0,2
COMMENTS
See A201280 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=0.1959298992654626321811553538347740836029...
MATHEMATICA
a = 1; c = 5;
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] (* A201284 *)
CROSSREFS
Cf. A201280.
Sequence in context: A334427 A010543 A154830 * A191815 A341430 A341438
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 29 2011
STATUS
approved