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 A365823 #29 Nov 16 2023 05:54:46
%S A365823 6,8,2,8,4,2,7,1,2,4,7,4,6,1,9,0,0,9,7,6,0,3,3,7,7,4,4,8,4,1,9,3,9,6,
%T A365823 1,5,7,1,3,9,3,4,3,7,5,0,7,5,3,8,9,6,1,4,6,3,5,3,3,5,9,4,7,5,9,8,1,4,
%U A365823 6,4,9,5,6,9,2,4,2,1,4,0,7,7
%N A365823 Decimal expansion of 2*(2 + sqrt(2)).
%C A365823 The greater one of the solutions to x^2 - 8 * x + 8 = 0. The other solution is A157259 - 3 = 1.17157... . - _Michal Paulovic_, Nov 14 2023
%F A365823 Equals 2*sqrt(2)*(1 + sqrt(2)) = 2*(2 + sqrt(2)). This is an integer in the quadratic number field Q(sqrt(2)).
%F A365823 Equals lim_{n->oo} A057084(n + 1)/A057084(n).
%F A365823 Equals continued fraction with periodic term [[6], [1, 4]]. - _Peter Luschny_, Nov 13 2023
%F A365823 Equals -3+A157258 = 1+A156035 = 2+A090488 = 3+A086178 = 4+A010466 = 6+A163960. - _Alois P. Heinz_, Nov 15 2023
%e A365823 6.8284271247461900976033774484193961571393437507538961...
%p A365823 evalf(4+sqrt(8), 130); # _Alois P. Heinz_, Nov 13 2023
%t A365823 First[RealDigits[2*(2 + Sqrt[2]), 10, 99]] (* _Stefano Spezia_, Nov 11 2023 *)
%o A365823 (PARI) \\ Works in v2.13 and higher; n = 100 decimal places
%o A365823 my(n=100); digits(floor(10^n*(4+quadgen(32)))) \\ _Michal Paulovic_, Nov 14 2023
%Y A365823 Cf. A000129, A002193, A014176, A049310, A057084, A157259.
%Y A365823 Cf. A156035, A163960.
%Y A365823 Essentially the same as A157258, A090488, A086178 and A010466.
%K A365823 nonn,cons,easy
%O A365823 1,1
%A A365823 _Wolfdieter Lang_, Nov 13 2023