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 A232735 #30 Aug 31 2025 10:16:00 %S A232735 9,7,4,9,2,7,9,1,2,1,8,1,8,2,3,6,0,7,0,1,8,1,3,1,6,8,2,9,9,3,9,3,1,2, %T A232735 1,7,2,3,2,7,8,5,8,0,0,6,1,9,9,9,7,4,3,7,6,4,8,0,7,9,5,7,5,0,8,7,6,4, %U A232735 5,9,3,1,6,3,4,4,0,3,7,9,3,7,0,0,1,1,2,4,5,8,1,2,0,7,3,6,9,2,5,1,6,4,0,1,4 %N A232735 Decimal expansion of the real part of I^(1/7), or cos(Pi/14). %C A232735 The corresponding imaginary part is in A232736. %C A232735 Root of the equation -7 + 56*x^2 - 112*x^4 + 64*x^6 = 0. - _Vaclav Kotesovec_, Apr 04 2021 %H A232735 Stanislav Sykora, <a href="/A232735/b232735.txt">Table of n, a(n) for n = 0..1000</a> %H A232735 A. Arman, A. Bondarenko, and A. Prymak, <a href="https://arxiv.org/abs/2304.10418">Convex bodies of constant width with exponential illumination number</a>, arXiv:2304.10418 [math.MG], 2023. %H A232735 <a href="/index/Al#algebraic_06">Index entries for algebraic numbers, degree 6</a> %F A232735 2*this^2 -1 = A073052. - _R. J. Mathar_, Aug 29 2025 %F A232735 Equals 2F1(-1/14,1/14;1/2;1) . - _R. J. Mathar_, Aug 31 2025 %e A232735 0.974927912181823607018131682993931217232785800619997437648... %t A232735 RealDigits[Cos[Pi/14],10,120][[1]] (* _Harvey P. Dale_, Dec 15 2018 *) %o A232735 (Magma) R:= RealField(100); Cos(Pi(R)/14); // _G. C. Greubel_, Sep 19 2022 %o A232735 (SageMath) numerical_approx(cos(pi/14), digits=120) # _G. C. Greubel_, Sep 19 2022 %Y A232735 Cf. A232736 (imaginary part), A010503 (real(I^(1/2))), A010527 (real(I^(1/3))), A144981 (real(I^(1/4))), A019881 (real(I^(1/5))), A019884 (real(I^(1/6))), A232737 (real(I^(1/8))), A019889 (real(I^(1/9))), A019890 (real(I^(1/10))). %K A232735 nonn,cons,easy,changed %O A232735 0,1 %A A232735 _Stanislav Sykora_, Nov 29 2013