This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A358938 #17 Mar 24 2025 09:06:52 %S A358938 8,7,0,5,5,0,5,6,3,2,9,6,1,2,4,1,3,9,1,3,6,2,7,0,0,1,7,4,7,9,7,4,6,0, %T A358938 9,8,9,7,9,1,2,5,4,2,4,3,4,8,0,0,3,0,4,8,2,4,1,8,5,9,5,6,8,5,0,6,7,5, %U A358938 0,0,1,7,7,5,2,4 %N A358938 Decimal expansion of the real root of 2*x^5 - 1. %C A358938 This is the reciprocal of A005531. %C A358938 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(Pi*i*2/5) = r*(phi - 1 + sqrt(2 + phi)*i)/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. %F A358938 r = (1/2)^(1/5) = 1/A005531. %F A358938 Equals A011101/2. - _Hugo Pfoertner_, Mar 24 2025 %e A358938 0.87055056329612413913627001747974609897912542434800304824185956850675... %t A358938 RealDigits[Surd[1/2, 5], 10, 120][[1]] (* _Amiram Eldar_, Dec 07 2022 *) %Y A358938 Cf. A001622, A182007, A188593, A005531, A011101. %K A358938 nonn,cons,easy %O A358938 0,1 %A A358938 _Wolfdieter Lang_, Dec 07 2022