OFFSET
0,1
COMMENTS
This is the reciprocal of A005531.
The other two complex conjugate pairs of roots are obtained, with the present number r = (1/2)^(1/5) and the golden section phi (A001622), from x1 = r*exp(2*Pi*i*2/5) = r*(phi - 1 + sqrt(2 + phi)/2 = r*(A001622 - 1 + A188593*i)/2 = 0.2690149185... + 0.8279427859...*i, x2 = r*exp(Pi*i*4/5) = r*(-phi + sqrt(3 - phi)*i)/2 = r*(-A001622 + A182007*i)/2 = -0.7042902001 + 0.5116967824...*i.
FORMULA
r = (1/2)^(1/5) = 1/A005531.
EXAMPLE
0.87055056329612413913627001747974609897912542434800304824185956850675...
MATHEMATICA
RealDigits[Surd[1/2, 5], 10, 120][[1]] (* Amiram Eldar, Dec 07 2022 *)
CROSSREFS
KEYWORD
AUTHOR
Wolfdieter Lang, Dec 07 2022
STATUS
approved