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 A157123 #15 Feb 11 2025 15:12:51 %S A157123 2,2,5,5,7,0,9,6,6,1,3,2,6,4,4,9,2,5,4,5,7,1,9,5,5,8,8,1,5,3,2,4,2,7, %T A157123 8,9,5,0,0,5,8,0,9,1,6,2,8,6,2,8,9,8,7,6,5,3,3,6,5,1,3,2,3,0,1,6,8,8, %U A157123 1,8,8,6,9,6,9,4,1,6,5,6,7,5,3,7,9,8,5,9,9,7,3,4,5,2,6,6,3,5,3,2,0,4,3,7,9 %N A157123 Decimal expansion of (11 + 3*sqrt(2))/(11 - 3*sqrt(2)). %C A157123 Lim_{n -> infinity} b(n)/b(n-1) = (11+3*sqrt(2))/(11-3*sqrt(2)) for n mod 3 = {1, 2}, b = A157119. %C A157123 Lim_{n -> infinity} b(n)/b(n-1) = (11+3*sqrt(2))/(11-3*sqrt(2)) for n mod 3 = {0, 2}, b = A157120. %H A157123 G. C. Greubel, <a href="/A157123/b157123.txt">Table of n, a(n) for n = 1..10000</a> %H A157123 <a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>. %e A157123 (11 + 3*sqrt(2))/(11 - 3*sqrt(2)) = 2.25570966132644925457... %t A157123 RealDigits[(11 + 3*Sqrt[2])/(11 - 3*Sqrt[2]), 10, 100][[1]] (* _G. C. Greubel_, Jan 27 2018 *) %o A157123 (PARI) (11+3*sqrt(2))/(11-3*sqrt(2)) \\ _G. C. Greubel_, Jan 27 2018 %o A157123 (Magma) (11+3*Sqrt(2))/(11-3*Sqrt(2)) // _G. C. Greubel_, Jan 27 2018 %Y A157123 Cf. A157119, A157120, A157121 (decimal expansion of 11+3*sqrt(2)), A157122 (decimal expansion of 11-3*sqrt(2)). %K A157123 cons,nonn %O A157123 1,1 %A A157123 _Klaus Brockhaus_, Feb 25 2009