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 A010532 #21 Aug 21 2023 11:16:25 %S A010532 8,9,4,4,2,7,1,9,0,9,9,9,9,1,5,8,7,8,5,6,3,6,6,9,4,6,7,4,9,2,5,1,0,4, %T A010532 9,4,1,7,6,2,4,7,3,4,3,8,4,4,6,1,0,2,8,9,7,0,8,3,5,8,8,9,8,1,6,4,2,0, %U A010532 8,3,7,0,2,5,5,1,2,1,9,5,9,7,6,5,7,6,5,7,6,3,3,5,1,5,1,2,9,0,9,9,8,7,8,0,3 %N A010532 Decimal expansion of square root of 80. %C A010532 Continued fraction expansion is 8 followed by {1, 16} repeated. - _Harry J. Smith_, Jun 09 2009 %H A010532 Harry J. Smith, <a href="/A010532/b010532.txt">Table of n, a(n) for n = 1..20000</a> %H A010532 <a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a> %F A010532 From _Amiram Eldar_, Aug 02 2020: (Start) %F A010532 Equals 10 * 2/sqrt(5) = 10 * Sum_{k>=0} (-1)^k * binomial(2*k,k)/16^k. %F A010532 Equals 8 + Sum_{k>=0} (-1)^k * binomial(2*k,k)/((k+1) * 16^k). (End) %e A010532 8.944271909999158785636694674925104941762473438446102897083588981642083.... %t A010532 RealDigits[Sqrt[80],10,120][[1]] (* _Harvey P. Dale_, Oct 20 2011 *) %o A010532 (PARI) default(realprecision, 20080); x=sqrt(80); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010532.txt", n, " ", d)); \\ _Harry J. Smith_, Jun 09 2009 %Y A010532 Cf. A040071 (continued fraction). - _Harry J. Smith_, Jun 09 2009 %K A010532 nonn,cons %O A010532 1,1 %A A010532 _N. J. A. Sloane_ %E A010532 Final digits of sequence corrected using the b-file. - _N. J. A. Sloane_, Aug 30 2009