OFFSET
0,1
COMMENTS
For details and links see A335862.
LINKS
Wolfdieter Lang, A list of representative simple difference sets of the Singer type for small orders m, Karlsruher Institut für Technologie (Karlsruhe, Germany 2020).
FORMULA
-x3 = (1/3)*(2 - (1/2)*(1 + sqrt(3)*i)*(179 + 3*sqrt(3)*sqrt(269)*i)^(1/3) - (1/2)*(1 - sqrt(3)*i)*(179 - 3*sqrt(3)*sqrt(269)*i)^(1/3)), where i is the imaginary unit.
EXAMPLE
-x3 = 0.758886842296941304849382284375859546...
MAPLE
evalf((f-> (sqrt(34)*(cos(f)-sin(f)*sqrt(3))-2)/3)(arctan(sqrt(807)*3/179)/3), 120); # Alois P. Heinz, Nov 17 2020
MATHEMATICA
With[{j = Sqrt[3] I, k = 3 Sqrt[3] Sqrt[269] I}, First@ RealDigits[Re[(1/3) (2 - (1/2) (1 + j) (179 + k)^(1/3) - (1/2) (1 - j) (179 - k)^(1/3))], 10, 97]] (* Michael De Vlieger, Nov 17 2020 *)
CROSSREFS
KEYWORD
AUTHOR
Wolfdieter Lang, Jun 29 2020
STATUS
approved